Deck 2: Polynomial, Power, and Rational Functions

Question 1

Find a polynomial of degree 3 whose zeros are

A)
B)
C)
D)
E)

Answer 1

Question 2

Solve the rational equation

Answer 2

Extraneous root: 2

Question 3

The formula gives the height of an object tossed upward where represents the initial velocity, represents the initial height, and t represents time. A golf ball is hit straight up from the ground level with an initial velocity of 72 ft/sec. Find the maximum height that the ball reaches and the number of seconds it takes to reach that height.

Answer 3

Maximum height: 81 ft
Time: 2.25 sec

Question 4

Which of the following gives the zeros of the graph and their multiplicity?

A) 1 (multiplicity 1), 3 (multiplicity 2)
B) 1 (multiplicity 3), 2 (multiplicity 1)
C) 1 (multiplicity 3 ), 3 (multiplicity 1 )
D) 1 (multiplicity 2), 3 (multiplicity 1)
E) 1 (multiplicity 1), 2 (multiplicity 3)

Question 5

Solve the inequality

Question 6

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Question 7

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Question 8

Use long division to find the remainder when is divided by

Question 9

Use the Remainder Theorem to find the remainder when is divided by x-6 .

Question 10

Draw the graph of
in the [-15,10] by [-100,175] viewing rectangle. How many real zeros are evident from this graph?

A) 1
B) 2
C) 3
D) 0
E) Infinitely many

Question 11

Find all rational zeros of

Question 12

Find all the zeros of

Question 13

Write a linear factorization of

Question 14

Find the domain of

A)
B)
C)
D)
E)

Question 15

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FORM A DATE
2 Chapter Test NAME
Directions: Show all work where appropriate. A graphing calculator may be necessary to answer
some questions.

Question 16

Find a polynomial of degree 2 with real-number coefficients and zero

Question 17

Use synthetic division to divide
Summarize your results by writing a fraction equation.

Question 18

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Question 19

Question 20

Write an equation in standard form for the parabola that has vertex (3,-2) and passes through the point (1,14) .

Question 21

Identify the horizontal and vertical asymptotes for the function

Question 22

Question 23

Find all zeros of and write a linear factorization of f(x) .

Question 24

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Question 25

Question 26

The line x=3 is the axis of symmetry for the graph of a parabola. If the parabola contains the points (1,0) and (4,-3) , what is the equation for the parabola?

Question 27

Tell how the graph of can be obtained from the graph of by using transformations.

Question 28

What is the remainder when is divided by x-1 ?

Question 29

What is the remainder when is divided by x+1 ?

Question 30

Which one of the following is a polynomial with real coefficients that has 2 and
as zeros?

A)
B)
C)
D)
E)

Question 31

Which one of the following is a polynomial with real coefficients that has -2 and as zeros?

A)
B)
C)
D)
E)

Question 32

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FORM A

Question 33

What is the minimum value for the function

Question 34

Question 35

A photograph is 4 in. longer than it is wide. If the frame is 2 in. wide, the combined area of the photograph and the frame is
Find the dimensions of the photograph without the frame.

Question 36

Divide by x-2

Question 37

Question 38

Question 39

Solve the inequality

Question 40

Divide

Question 41

A swimming pool is 8 ft longer than it is wide. The pool is surrounded by a walkway of width 4 ft . The combined area of the pool and the walkway is
Find the dimensions of the pool without the walkway.

Question 42

Tell how the graph of can be obtained from the graph of by using transformations.

Question 43

Graph the function
Choose a viewing window that shows three local extremum values and all the x -intercepts. Make a sketch of the grapher window, and show the viewing window dimensions.

Question 44

In the space below, identify all asymptotes and intercepts of the function Sketch a graph of g(x) .

Question 45

The line x=3 is the axis of symmetry for the graph of a parabola. If the parabola contains the points (5,-3) and (-1,9) , what is the equation for the parabola?

Question 46

Identify the horizontal and vertical asymptotes for th function

Question 47

Question 48

What is the minimum value for the function

Question 49

Jennifer's distance D from a motion detector is given by the data below. Find a cubic regression equation (with coefficients expressed to the nearest thousandth), and graph it together with a scatter plot of the data.

Question 50

Solve the inequality

Question 51

Solve the inequality

Question 52

DATE \@ "M/d/yyyy" 12/6/2020