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# Solving Problems with Polynomial Functions Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. What is the volume of the following sphere?

#### Question 2 2. What is the volume of the following cube?

#### Question 3 3. What is the highest exponent in a cubic function?

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Question 4
4.
The graph of the function *f*(*x*) = *x*^3 - 4*x*^2 - 2*x* + 8 is shown below. This function has only one rational zero. Use the rational zeros theorem and the graph to determine the value of the rational zero.

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Question 5
5.
List the possible rational zeros of the following function:

*f*(*x*) = 6*x*^3 - 5*x* - 1

*f*(

*x*) = 6

*x*^3 - 5

*x*- 1

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Question 6
6.
The possible rational zeros for the following function are +/-1 and +/-2. Which synthetic division problem shows that 2 is **NOT** a rational zero of the function?

#### Question 7 7. The vertical line test helps to show

#### Question 8 8. Which of the following is a function?

#### Question 9 9. Complete the phrase: The graph of a function will never ___________.

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Question 10
10.
Find the *x*-intercept of this line: *y* = 7*x* + 21

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Question 11
11.
Find the *y*-intercept of this line: 5*x* - 4*y* = 40

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Question 12
12.
Find the *x*-intercept of this line: 5*x* + 3*y* = 30

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Question 13
13.
A polynomial function of degree 4 has the following zeros: 2, 3 and 2 - 2*i*. What is the fourth zero?

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Question 14
14.
A polynomial function has real coefficients, a leading coefficient of 1, and the zeros -4*i* and 4*i*. Write a polynomial function of least degree in standard form.

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Question 15
15.
A polynomial function has real coefficients, a leading coefficient of 1, and the zeros 8, -*i* and *i*. Write a polynomial function of least degree in standard form.

### Page 4

#### Question 16 16. All polynomial graphs must:

#### Question 17 17. What does a negative leading coefficient do to a graph?

#### Question 18 18. What is the degree of this function: y = 3x^2 - 4x^5 + x - 1.

#### Question 19 19. Which of the following is not a coefficient of this polynomial?

#### Question 20 20. Which of the following is not a valid polynomial term?

### Page 5

#### Question 21 21. What is the leading coefficient of this polynomial?

#### Question 22 22. Which of the following BEST describes point A?

#### Question 23 23. Which of the following BEST describes point B?

#### Question 24 24. Which of the following is a local minimum?

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Question 25
25.
You have a piece of cardboard with length 25 inches and width 14 inches. You cut squares with side length *x* out of each corner of the piece of cardboard and fold the sides up to create a box. Represent the volume of the box as a function of *x*.

### Page 6

#### Question 26 26. Which of the following answer choices is a possible rational zero for the following function?

#### Question 27 27. Which linear relation is not a function?

####
Question 28
28.
Find the *x*-intercept of this line: 12*x* - 6*y* = 24

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Question 29
29.
A polynomial function has real coefficients, a leading coefficient of 1, and the zeros 3 - *i*, 3 + *i*, 4, and 4. Write the polynomial function in factored form.

#### Question 30 30. How can you tell if a graph is from an Odd Degree Polynomial function?

#### Solving Problems with Polynomial Functions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!