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Deck 3: Polynomial and Rational Functions
Full screen (f)
Question
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of 
.
A) 3 positive reals or 1 positive real; no negative reals
B) no positive reals; no negative reals
C) 1 positive real; 3 negative reals or 1 negative real
D) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
E) 0 positive real; 3 negative reals or 1 negative real
.A) 3 positive reals or 1 positive real; no negative reals
B) no positive reals; no negative reals
C) 1 positive real; 3 negative reals or 1 negative real
D) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
E) 0 positive real; 3 negative reals or 1 negative real
Question
Find all real zeros of the polynomial 
and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Question
Find the standard form of the quadratic function shown below: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find all the rational zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Write the standard form of the equation of the parabola that has a vertex at 
and passes through the point 
.
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find all the real zeros of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Graph the given function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find all real zeros of the polynomial 
and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Question
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of 
.
A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) no positive reals; no negative reals
D) 3 positive reals or 1 positive real; 1 negative real
E) 1 positive real; 3 negative reals or 1 negative real
.A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) no positive reals; no negative reals
D) 3 positive reals or 1 positive real; 1 negative real
E) 1 positive real; 3 negative reals or 1 negative real
Question
An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B) 4x - 1
C)
D)
E)
A)
B) 4x - 1
C)
D)
E)
Question
Using a graphing utility, graph 
and approximate the zeros and their multiplicity.
A)
B)
C)
D)
E)
and approximate the zeros and their multiplicity.A)
B)
C)
D)
E)
Question
Write 
in the form 
when 
.
A)
B)
C)
D)
E)
in the form when .A)
B)
C)
D)
E)
Question
Find all the real zeros of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If 
is a root of 
, use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
; 
B)
; 
C)
; 
D)
; 
E)
; 
is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
; B)
; C)
; D)
; E)
; Question
Using the factors 
and 
, find the remaining factor(s) of 
and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and , find the remaining factor(s) of and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Question
Determine the vertex of the graph of the quadratic function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Write the standard form of the equation of the parabola that has a vertex at 
and passes through the point 
.
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Question
An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Using a graphing utility, graph 
and approximate the zeros and their multiplicity.
A)
B)
C)
D)
E)
and approximate the zeros and their multiplicity.A)
B)
C)
D)
E)
Question
Write the standard form of the equation of the parabola that has a vertex at 
and passes through the point 
.
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Question
Determine the vertex of the graph of the quadratic function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Write 
as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Question
Using the factors 
and 
, find the remaining factor(s) of 
and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and , find the remaining factor(s) of and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Question
Write 
as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Question
A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write 
in the form 
when 
.
A)
B)
C)
D)
E)
in the form when .A)
B)
C)
D)
E)
Question
Find all zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Graph the given function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Determine the zeros (if any) of the rational function 
.
A)
B)
C) no zeros
D)
E)
.A)
B)
C) no zeros
D)
E)
Question
If 
is a root of 
, use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
; 
B)
; 
C)
; 
D)
; 
E)
; 
is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
; B)
; C)
; D)
; E)
; Question
Write the standard form of the equation of the parabola that has a vertex at 
and passes through the point 
.
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Question
Find all zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E) 4x - 3
A)
B)
C)
D)
E) 4x - 3
Question
Find all real zeros of the polynomial 
and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Question
Find all real zeros of the polynomial 
and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Question
Find the standard form of the quadratic function shown below: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find all the real zeros of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the standard form of the quadratic function shown below: 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of 
.
A) 3 positive reals or 1 positive real; no negative reals
B) 1 positive real; 3 negative reals or 1 negative real
C) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
D) no positive reals; no negative reals
E) 0 positive real; 3 negative reals or 1 negative real
.A) 3 positive reals or 1 positive real; no negative reals
B) 1 positive real; 3 negative reals or 1 negative real
C) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
D) no positive reals; no negative reals
E) 0 positive real; 3 negative reals or 1 negative real
Question
A farmer has 336 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find all zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
An open box is to be made from a square piece of cardboard, 21 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find all the rational zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Using a graphing utility, graph 
and approximate the zeros and their multiplicity.
A)
B)
C)
D)
E)
and approximate the zeros and their multiplicity.A)
B)
C)
D)
E)
Question
Find all the real zeros of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Determine the vertex of the graph of the quadratic function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Write the standard form of the equation of the parabola that has a vertex at 
and passes through the point 
.
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Question
Determine the zeros (if any) of the rational function 
.
A) no zeros
B)
C)
D)
E)
.A) no zeros
B)
C)
D)
E)
Question
Find all zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Write 
as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Question
Find all real zeros of the polynomial 
and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Question
Write 
as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Question
Write the standard form of the equation of the parabola that has a vertex at 
and passes through the point 
.
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Question
Graph the given function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of 
.
A) 3 positive reals or 1 positive real; 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) no positive reals; no negative reals
D) 1 positive real; 3 negative reals or 1 negative real
E) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
.A) 3 positive reals or 1 positive real; 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) no positive reals; no negative reals
D) 1 positive real; 3 negative reals or 1 negative real
E) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
Question
Find all real zeros of the polynomial 
and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Question
Find all zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Question
Graph the quadratic function. f (x) = x2 + 3x
A)
B)
C)
D)
A)
B)
C)
D)
Question
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of 
.
A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) 1 positive real; 3 negative reals or 1 negative real
D) 3 positive reals or 1 positive real; 1 negative real
E) no positive reals; no negative reals
.A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) 1 positive real; 3 negative reals or 1 negative real
D) 3 positive reals or 1 positive real; 1 negative real
E) no positive reals; no negative reals
Question
Graph the quadratic function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find all zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find all the rational zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Write 
as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Question
Graph the quadratic function. f (x) = - 3x2 + 2
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find all the real zeros of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Write 
in the form 
when 
.
A)
B)
C)
D)
E)
in the form when .A)
B)
C)
D)
E)
Question
Determine the zeros (if any) of the rational function 
.
A)
B)
C)
D)
E) no zeros
.A)
B)
C)
D)
E) no zeros
Question
Using the factors 
and 
, find the remaining factor(s) of 
and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and , find the remaining factor(s) of and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Question
Question
Use synthetic division to divide. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If 
is a root of 
, use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A)
; 
B)
; 
C)
; 
D)
; 
E)
; 
is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
; B)
; C)
; D)
; E)
; Question
Find all the real zeros of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Write 
as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Question
Use long division to divide. 
A)
B)
C)
D)
E) -x + 2
A)
B)
C)
D)
E) -x + 2
Question
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of 
.
A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) 0 positive real; 3 negative reals or 1 negative real
D) 1 positive real; 3 negative reals or 1 negative real
E) no positive reals; no negative reals
.A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) 0 positive real; 3 negative reals or 1 negative real
D) 1 positive real; 3 negative reals or 1 negative real
E) no positive reals; no negative reals
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Deck 3: Polynomial and Rational Functions
1
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .
A) 3 positive reals or 1 positive real; no negative reals
B) no positive reals; no negative reals
C) 1 positive real; 3 negative reals or 1 negative real
D) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
E) 0 positive real; 3 negative reals or 1 negative real
.A) 3 positive reals or 1 positive real; no negative reals
B) no positive reals; no negative reals
C) 1 positive real; 3 negative reals or 1 negative real
D) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
E) 0 positive real; 3 negative reals or 1 negative real
0 positive real; 3 negative reals or 1 negative real
2
Find all real zeros of the polynomial and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
3
Find the standard form of the quadratic function shown below:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find all the rational zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
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5
Write the standard form of the equation of the parabola that has a vertex at and passes through the point .
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
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6
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
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7
Find all the real zeros of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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8
Graph the given function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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9
Find all real zeros of the polynomial and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
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10
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .
A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) no positive reals; no negative reals
D) 3 positive reals or 1 positive real; 1 negative real
E) 1 positive real; 3 negative reals or 1 negative real
.A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) no positive reals; no negative reals
D) 3 positive reals or 1 positive real; 1 negative real
E) 1 positive real; 3 negative reals or 1 negative real
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
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11
An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
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12
Use long division to divide.
A)
B) 4x - 1
C)
D)
E)
A)
B) 4x - 1
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
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13
Using a graphing utility, graph and approximate the zeros and their multiplicity.
A)
B)
C)
D)
E)
and approximate the zeros and their multiplicity.A)
B)
C)
D)
E)
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Unlock for access to all 150 flashcards in this deck.
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14
Write in the form when .
A)
B)
C)
D)
E)
in the form when .A)
B)
C)
D)
E)
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15
Find all the real zeros of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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16
A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
17
If is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A) ;
B) ;
C) ;
D) ;
E) ;
is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
; B)
; C)
; D)
; E)
; Unlock Deck
Unlock for access to all 150 flashcards in this deck.
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18
Using the factors and , find the remaining factor(s) of and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and , find the remaining factor(s) of and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Unlock Deck
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19
Determine the vertex of the graph of the quadratic function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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20
Write the standard form of the equation of the parabola that has a vertex at and passes through the point .
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
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21
An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
22
Using a graphing utility, graph and approximate the zeros and their multiplicity.
A)
B)
C)
D)
E)
and approximate the zeros and their multiplicity.A)
B)
C)
D)
E)
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Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
23
Write the standard form of the equation of the parabola that has a vertex at and passes through the point .
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
24
Determine the vertex of the graph of the quadratic function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
25
Write as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
26
Using the factors and , find the remaining factor(s) of and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and , find the remaining factor(s) of and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
27
Write as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
28
A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
29
Write in the form when .
A)
B)
C)
D)
E)
in the form when .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
30
Find all zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
31
Graph the given function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
32
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
33
Determine the zeros (if any) of the rational function .
A)
B)
C) no zeros
D)
E)
.A)
B)
C) no zeros
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
34
If is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A) ;
B) ;
C) ;
D) ;
E) ;
is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
; B)
; C)
; D)
; E)
; Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
35
Write the standard form of the equation of the parabola that has a vertex at and passes through the point .
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
36
Find all zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
37
Use long division to divide.
A)
B)
C)
D)
E) 4x - 3
A)
B)
C)
D)
E) 4x - 3
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
38
Find all real zeros of the polynomial and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
39
Find all real zeros of the polynomial and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
40
Find the standard form of the quadratic function shown below:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
41
Find all the real zeros of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
42
Find the standard form of the quadratic function shown below:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
43
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .
A) 3 positive reals or 1 positive real; no negative reals
B) 1 positive real; 3 negative reals or 1 negative real
C) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
D) no positive reals; no negative reals
E) 0 positive real; 3 negative reals or 1 negative real
.A) 3 positive reals or 1 positive real; no negative reals
B) 1 positive real; 3 negative reals or 1 negative real
C) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
D) no positive reals; no negative reals
E) 0 positive real; 3 negative reals or 1 negative real
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
44
A farmer has 336 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
45
Find all zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
46
An open box is to be made from a square piece of cardboard, 21 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
47
Find all the rational zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
48
Using a graphing utility, graph and approximate the zeros and their multiplicity.
A)
B)
C)
D)
E)
and approximate the zeros and their multiplicity.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
49
Find all the real zeros of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
50
Determine the vertex of the graph of the quadratic function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
51
Write the standard form of the equation of the parabola that has a vertex at and passes through the point .
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
52
Determine the zeros (if any) of the rational function .
A) no zeros
B)
C)
D)
E)
.A) no zeros
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
53
Find all zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
54
Write as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
55
Find all real zeros of the polynomial and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
56
Write as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
57
Write the standard form of the equation of the parabola that has a vertex at and passes through the point .
A)
B)
C)
D)
E)
and passes through the point .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
58
Graph the given function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
59
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .
A) 3 positive reals or 1 positive real; 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) no positive reals; no negative reals
D) 1 positive real; 3 negative reals or 1 negative real
E) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
.A) 3 positive reals or 1 positive real; 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) no positive reals; no negative reals
D) 1 positive real; 3 negative reals or 1 negative real
E) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
60
Find all real zeros of the polynomial and determine the multiplicity of each.
A)
B)
C)
D)
E)
and determine the multiplicity of each.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
61
Find all zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
62
Find the vertex of the parabolic graph of the equation. y = 6(x - 7) 2 + 4
A) (49, 4)
B) (7, 6)
C) (4, 7)
D) (7, 4)
E) (7, 0)
A) (49, 4)
B) (7, 6)
C) (4, 7)
D) (7, 4)
E) (7, 0)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
63
Graph the quadratic function. f (x) = x2 + 3x
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
64
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .
A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) 1 positive real; 3 negative reals or 1 negative real
D) 3 positive reals or 1 positive real; 1 negative real
E) no positive reals; no negative reals
.A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) 1 positive real; 3 negative reals or 1 negative real
D) 3 positive reals or 1 positive real; 1 negative real
E) no positive reals; no negative reals
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
65
Graph the quadratic function.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
66
Find all zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
67
Find all the rational zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
68
Write as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
69
Graph the quadratic function. f (x) = - 3x2 + 2
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
70
Find all the real zeros of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
71
Write in the form when .
A)
B)
C)
D)
E)
in the form when .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
72
Determine the zeros (if any) of the rational function .
A)
B)
C)
D)
E) no zeros
.A)
B)
C)
D)
E) no zeros
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
73
Using the factors and , find the remaining factor(s) of and write the polynomial in fully factored form.
A)
B)
C)
D)
E)
and , find the remaining factor(s) of and write the polynomial in fully factored form.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
74
Find the vertex of the parabola. y = 9x2 - 10
A) (0, -10)
B) (0, 9)
C) (9, -10)
D) (-10, 0)
E) (-10, 9)
A) (0, -10)
B) (0, 9)
C) (9, -10)
D) (-10, 0)
E) (-10, 9)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
75
Use synthetic division to divide.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
76
If is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.
A) ;
B) ;
C) ;
D) ;
E) ;
is a root of , use synthetic division to factor the polynomial completely and list all real solutions of the equation.A)
; B)
; C)
; D)
; E)
; Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
77
Find all the real zeros of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
78
Write as a product of linear factors.
A)
B)
C)
D)
E)
as a product of linear factors.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
79
Use long division to divide.
A)
B)
C)
D)
E) -x + 2
A)
B)
C)
D)
E) -x + 2
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
80
Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of .
A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) 0 positive real; 3 negative reals or 1 negative real
D) 1 positive real; 3 negative reals or 1 negative real
E) no positive reals; no negative reals
.A) 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
B) 3 positive reals or 1 positive real; no negative reals
C) 0 positive real; 3 negative reals or 1 negative real
D) 1 positive real; 3 negative reals or 1 negative real
E) no positive reals; no negative reals
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
