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Advanced Polynomial Functions: Precalculus Lesson Plans 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!

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Question 1 1. Divide using long division.

Question 2 2. Divide the following polynomials:

Question 3 3. What are the POSSIBLE solutions to the polynomial x^7 - 4x + 3?

Question 4 4. Which of the following answer choices is a possible rational zero for the following function?

Question 5 5.

Divide using synthetic division.

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

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Question 6 6. Which example correctly illustrates the Remainder Theorem?

Question 7 7. Divide the following polynomials:

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

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

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Question 11 11. The polynomial x^6 + 13x^3 + 30 is written in quadratic form as u^2 + 13u + 30. What does u equal?

Question 12 12. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

Question 13 13.

List the possible rational zeros of the following function:

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

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.

Factor the following expression:

x^4 - 13x^2 + 36

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Question 16 16. 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 17 17. Divide using long division.

Question 18 18.

Divide using synthetic division.

(x3 + 9) / (x + 2)

Question 19 19. In the polynomial, 6x^4 - 3x^3 + 3x^2 + 10x + 8, which one is the last constant term?

Question 20 20. Divide the following polynomials:

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Question 21 21. Find the rational solutions to the polynomial x^3 - 2x^2 - x + 2.

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

Question 23 23. Which example correctly illustrates the Factor Theorem?

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 using long division.

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Question 26 26.

Write the following expression in quadratic form:

2x^6 - 2x^3 - 40

Question 27 27.

Divide using synthetic division.

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

Question 28 28.

Divide using synthetic division.

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

Question 29 29. In this polynomial, 6x^4 - 3x^3 + 3x^2 + 10x + 8, which one is the leading coefficient?

Question 30 30. Which of the following is a higher degree polynomial?

Advanced Polynomial Functions: Precalculus Lesson Plans 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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