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Deck 3: Polynomial and Rational Functions
Full screen (f)
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
Write 
in the form 
when 
.
A)
B)
C)
D)
E)
in the form when .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
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
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
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
Use synthetic division to divide. 
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; 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
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
Determine the vertex of the graph of the quadratic 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
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
Find all the real zeros of 
.
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
Find all the rational zeros of the function 
.
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
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
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 synthetic division to divide. 
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
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
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
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
Find all 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
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
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
Graph the given function. 
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
Find the standard form of the quadratic function shown below: 
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
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 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
Find all the real zeros of 
.
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
Graph the given function. 
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
Find all the rational zeros of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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 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 all 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
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
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
Find the standard form of the quadratic function shown below: 
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
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 the rational zeros of the function 
.
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
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
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 
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
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 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
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
Determine the zeros (if any) of the rational function 
.
A)
B)
C)
D)
E)no zeros
.A)
B)
C)
D)
E)no zeros
Question
Use long division to divide. 
A)
B)
C)
D)
E)-x + 2
A)
B)
C)
D)
E)-x + 2
Question
Question
Graph the quadratic function. f (x) = x2 + 3x
A)
B)
C)
D)
A)
B)
C)
D)
Question
Graph the quadratic function. f (x) = - 3x2 + 2
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)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
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)
2
Graph the given function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Write in the form when .
A)
B)
C)
D)
E)
in the form when .A)
B)
C)
D)
E)
4
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
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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 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
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
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7
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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8
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
9
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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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
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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
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12
Use long division to divide.
A)
B)4x - 1
C)
D)
E)
A)
B)4x - 1
C)
D)
E)
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13
Find the standard form of the quadratic function shown below:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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14
Find all the real zeros of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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15
Determine the vertex of the graph of the quadratic function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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16
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)
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17
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)
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18
Find all the real zeros of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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19
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)
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20
Find all the rational zeros of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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21
Determine the zeros (if any) of the rational function .
A)
B)
C)no zeros
D)
E)
.A)
B)
C)no zeros
D)
E)
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k this deck
22
Determine the vertex of the graph of the quadratic function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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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)
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Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
24
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
25
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
26
Use long division to divide.
A)
B)
C)
D)
E)4x - 3
A)
B)
C)
D)
E)4x - 3
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Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
27
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
28
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
29
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
30
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
31
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
32
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
33
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
34
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
35
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
36
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
37
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
38
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
39
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
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
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
42
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
43
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
44
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
45
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
46
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
47
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
48
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
49
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
50
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
51
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
52
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
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 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
55
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
56
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
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
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
59
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
60
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
61
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
62
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
63
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
64
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
65
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
66
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
67
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
68
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
69
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
70
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
71
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
72
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
73
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
74
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
75
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
76
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
77
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
78
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
79
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
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.
