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Higher-Degree Polynomial Functions Chapter Exam

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!

Page 1

Question 1 1.

Factor the following expression:

x^8 + 8x^4 + 15

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

Question 3 3. Divide using long division.

Question 4 4.

Write the following expression in quadratic form:

2x^6 - 2x^3 - 40

Question 5 5. Divide the following polynomials:

Page 2

Question 6 6.

Divide using synthetic division.

(x2 + x - 20) / (x + 5)

Question 7 7. The graph of the function f(x) = x^3 - 4x^2 - 2x + 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.

Question 8 8.

Divide using synthetic division.

(x3 + 9) / (x + 2)

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

Question 10 10. Divide the following polynomials:

Page 3

Question 11 11. The following graph is of a polynomial function of degree 2. Are the solutions of this function real or imaginary and why?

Question 12 12. Use the Remainder Theorem to find the remainder when f(x) = x^4 + 4x^3 - x^2 - 16x -12 is divided by x - 4.

Question 13 13. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

Question 14 14. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

Question 15 15. 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?

Page 4

Question 16 16. The following graph is of a polynomial function of degree 4. Which of the following best describes the solutions?

Question 17 17.

Factor the following expression:

x^4 - 13x^2 + 36

Question 18 18. Which answer choice is not a possible rational zero for the following function?

Question 19 19. Which of the following answer choices is a possible rational zero for the following function?

Question 20 20.

Divide using synthetic division.

(x3 - 3x2 + 5) / (x - 1)

Page 5

Question 21 21. Divide using long division.

Question 22 22. Which expression CANNOT be written in quadratic form?

Question 23 23. Divide using long division.

Question 24 24.

Use the Factor Theorem to determine which expression is a factor of the following polynomial:

f(x) = x^3 - 2x^2 - 31x - 28.

Question 25 25. Divide the following polynomials:

Page 6

Question 26 26.

Divide using synthetic division.

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

Question 27 27. Divide the following polynomials:

Question 28 28. The polynomial x^6 + 13x^3 + 30 is written in quadratic form as u^2 + 13u + 30. What does u equal?

Question 29 29.

List the possible rational zeros of the following function:

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

Question 30 30.

Divide using synthetic division.

(x4 + 5x3 - 15x2 - 12x - 60) / (x - 3)

Higher-Degree 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!

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