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Solving Problems with 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.

Write the following expression in quadratic form:

2x^6 - 2x^3 - 40

Question 2 2.

Factor the following expression:

x^8 + 8x^4 + 15

Question 3 3. Factor x^2 + 10x + 12.

Question 4 4. The following factors correspond to which one of the following equations: (x + 1) (x - 6)?

Question 5 5. Add the following rational expressions.

Page 2

Question 6 6. Subtract the following rational expressions.

Question 7 7. What is the procedure for subtracting polynomials:

Question 8 8. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

Question 9 9. Subtract and simplify.

Question 10 10. Add and simplify.

Page 3

Question 11 11. Which of the following is NOT a special product?

Question 12 12. What does FOIL stand for in multiplying binomials?

Question 13 13.

What type of expression is x + 7?

A: Polynomial

B: Binomial

C: Quadratic

Question 14 14. Which of these is a polynomial?

Question 15 15. Which quadratic equation below is in standard form and could be solved right away without first doing any other algebra?

Page 4

Question 16 16. Solve the following equation.

Question 17 17. The factors of (x - 7)^2 gives what perfect square trinomial?

Question 18 18. Which of the following scenarios would use a perfect square trinomial?

Question 19 19. A quadratic equation will have up to _____ solutions.

Question 20 20. Which of the following is not a quadratic equation?

Page 5

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

Question 22 22.

List the possible rational zeros of the following function:

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

Question 23 23. The sum of cubes identity is very powerful, although a little hard to remember. It tells us that a³ + b³ = _____.

Question 24 24. The difference between squares identity is extremely useful, because you can immediately break up a² - b² into which two factors?

Question 25 25. Which expression CANNOT be written in quadratic form?

Page 6

Question 26 26. Factor the following expression: x^2 +9x + 8

Question 27 27. Add the following rational expressions.

Question 28 28. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

Question 29 29. Subtract and simplify.

Question 30 30. Which of the following is a binomial?

Solving Problems with 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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