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MTEL Mathematics (Elementary): Properties of 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.

Solve for x.

x + 2x = y

Question 2 2. What is the procedure for subtracting polynomials:

Question 3 3.

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

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

Question 4 4.

Divide using synthetic division.

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

Question 5 5.

Which of the following are polynomials?

I) f(x) = x^4+x

II) f(x) = x^2+x*sin(x)

III) f(x) = x+2*sin(2)

Page 2

Question 6 6. 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 7 7. Expand f(x) = (x+3)^2.

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

Question 10 10. Add: (x2 + 5x + 2) + (x2 - 2x + 7).

Page 3

Question 11 11. How will the graph of f(x)=x^3 transform when changed to f(x) = x^3 - 5?

Question 12 12. 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 13 13. What does a negative leading coefficient do to a graph?

Question 14 14. Factor x^2+4x-5.

Question 15 15.

Divide using synthetic division.

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

Page 4

Question 16 16.

Divide using synthetic division.

(x3 + 9) / (x + 2)

Question 17 17. 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 18 18. The following graph is of a polynomial function of degree 4. Which of the following best describes the solutions?

Question 19 19. Which answer choice is not a possible rational zero for the following function?

Question 20 20. What does a^b equal if a = 4 and b = 3?

Page 5

Question 21 21. All polynomial graphs must:

Question 22 22. Multiply: (x + 1)(x + 6)

Question 23 23. Divide using long division.

Question 24 24. Which of the following answer choices is a possible rational zero for the following function?

Question 25 25.

Which one of the following equals 2 * 2 * 2 * 2?

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

Page 6

Question 26 26. Which of the following should be evaluated in order to determine if x - 2 is a factor of x^3 + 3x - 4?

Question 27 27. What happens to the graph of a function when it is made negative?

Question 28 28. The factored form of a polynomial function is f(x) = (x + 4)(x - 2)(x - 1)(x + 1). According to the Fundamental Theorem of Algebra, what is the degree of this function?

Question 29 29. Divide using long division.

Question 30 30. Which example correctly illustrates the Remainder Theorem?

MTEL Mathematics (Elementary): Properties of 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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