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NMTA Math: 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. 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 2 2. Which answer choice is not a possible rational zero for the following function?

Question 3 3. What does 'Binomial Theorem' mean?

Question 4 4. Divide using long division.

Question 5 5. How can you tell if a graph is from an Odd Degree Polynomial function?

Page 2

Question 6 6. Divide using long division.

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

Question 9 9. The following graph is of a polynomial function of degree 2. Are the solutions of this function real or imaginary and why?

Question 10 10.

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

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

Page 3

Question 11 11. Which example correctly illustrates the Remainder Theorem?

Question 12 12. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

Question 13 13. All polynomial graphs must:

Question 14 14. Which of the following answer choices is a possible rational zero for the following function?

Question 15 15. Expand (a + b)^5.

Page 4

Question 16 16. What does it mean to 'expand a binomial'?

Question 17 17. The following graph is of a polynomial function of degree 4. Which of the following best describes the solutions?

Question 18 18.

Divide using synthetic division.

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

Question 19 19. To what does 'Polynomial Graph Transformation' refer?

Question 20 20. 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?

Page 5

Question 21 21. What is the leading coefficient of this function: y = x^3 - 2x^4 + 1

Question 22 22. Divide using long division.

Question 23 23.

Solve for t.

2s + 2t = 4

Question 24 24. Divide using long division.

Question 25 25. Which of the following should be evaluated in order to determine if x - 2 is a factor of x^3 + 3x - 4?

Page 6

Question 26 26. If the binomial (x + y) is raised to the 6th power, what will just the variable portion of the expansion look like?

Question 27 27.

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

x + y + z = 3

Question 28 28.

What does x equal when y = 3?

x + y = 8

Question 29 29. What is the degree of this function: y = 3x^2 - 4x^5 + x - 1.

Question 30 30. What does a negative leading coefficient do to a graph?

NMTA Math: 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!

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