Copyright

HiSET Mathematics: Polynomials 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. The following graph is of a polynomial function of degree 2. Are the solutions of this function real or imaginary and why?

Question 2 2. 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 3 3. Which example correctly illustrates the Factor Theorem?

Question 4 4. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

Question 5 5.

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

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

Page 2

Question 6 6.

Divide using synthetic division.

(x3 + 9) / (x + 2)

Question 7 7. Which of the following answer choices is a possible rational zero for the following function?

Question 8 8. 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 9 9. 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 10 10. Divide using long division.

Page 3

Question 11 11.

Divide using synthetic division.

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

Question 12 12. Divide using long division.

Question 13 13. 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 14 14. The following graph is of a polynomial function of degree 4. Which of the following best describes the solutions?

Question 15 15.

What does z equal when x = 1 and y = 2?

x + y + z = 3

Page 4

Question 16 16.

Solve for z.

x + z = 2

Question 17 17.

Divide using synthetic division.

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

Question 18 18. Divide using long division.

Question 19 19. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

Question 20 20.

What does x equal when y = 3?

x + y = 8

Page 5

Question 21 21. Which answer choice is not a possible rational zero for the following function?

Question 22 22.

Divide using synthetic division.

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

Question 23 23.

Solve for x.

x + 2x = y

Question 24 24.

Solve for t.

2s + 2t = 4

Question 25 25.

List the possible rational zeros of the following function:

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

Page 6

Question 26 26.

Divide using synthetic division.

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

Question 27 27. Which of the following should be evaluated in order to determine if x - 2 is a factor of x^3 + 3x - 4?

Question 28 28. Which example correctly illustrates the Remainder Theorem?

Question 29 29. Divide using long division.

Question 30 30. Divide using long division.

HiSET Mathematics: Polynomials 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!

HiSET Mathematics: Prep and Practice  /  Math Courses
Support