# Polynomial Functions of a Higher Degree Chapter Exam

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### Page 1

#### Question 1 1. Divide the following polynomials:

#### Question 2 2. A polynomial function has real coefficients, a leading coefficient of 1, and the zeros -6, 1, and 1. Write a polynomial function of least degree in standard form.

#### Question 3 3. A polynomial function has real coefficients, a leading coefficient of 2, and the zeros -3/2, 1, and -5. Write a polynomial function of least degree in standard form.

#### Question 4 4. Which of the following is a rational zero for the function:

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Question 5
5.
A polynomial function of degree 4 has the following zeros: 2, 3 and 2 - 2*i*. What is the fourth zero?

### Page 2

#### Question 6 6. Which answer choice is not a possible rational zero for the following function?

#### Question 7 7. Factor the following polynomial:

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Question 8
8.
Which of the following should be evaluated in order to determine if *x* - 2 is a factor of *x*^3 + 3*x* - 4?

#### Question 9 9. Divide the following polynomials:

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Question 10
10.
Two solutions of the function *f*(*x*) = *x*^3 + 5*x*^2 - 9*x* - 45 are *x* = 3 and *x* = -3. How many solutions and what types of solutions remain?

### Page 3

#### Question 11 11. Divide the following polynomials:

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Question 12
12.
Divide using synthetic division.

(2x3 + 5x2 - 9) / (x + 1)

#### Question 13 13. Which of these statements is true about adding polynomials?

#### Question 14 14. Divide using long division.

#### Question 15 15. Divide using long division.

### Page 4

####
Question 16
16.
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.

#### Question 17 17. When a graph touches but does not cross the x-axis, it tells us that we have:

#### Question 18 18. Divide the following polynomials:

#### Question 19 19. Divide the following polynomials:

#### Question 20 20. Subtract the following polynomials:

### Page 5

####
Question 21
21.
Which of the following is a factor of: f(x) = x^3 + 4x^2 - 7x - 10?

I. (x + 3)

II. (x - 2)

III. (x + 5)

#### Question 22 22. Divide the following polynomials:

#### Question 23 23. Divide the following polynomials:

#### Question 24 24. Which expression CANNOT be written in quadratic form?

####
Question 25
25.
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

### Page 6

#### Question 26 26. Divide the following polynomials:

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Question 27
27.
According to the Fundamental Theorem of Algebra, the polynomial function *f*(*x*) = *x*^3 + 5*x*^2 - *x* - 5 has how many complex solutions?

####
Question 28
28.
Divide using synthetic division.

(x3 + 9) / (x + 2)

####
Question 29
29.
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.

#### Question 30 30. Which of the following answer choices is a possible rational zero for the following function?

#### Polynomial Functions of a Higher Degree 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!