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Higher-Degree Polynomial Functions in Trigonometry: Homework Help 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.

Factor the following expression:

x^8 + 8x^4 + 15

Question 2 2. Which of the following answer choices is a possible rational zero for the following function?

Question 3 3.

Divide using synthetic division.

(x3 + 9) / (x + 2)

Question 4 4. Divide using long division.

Question 5 5. The polynomial x^6 + 13x^3 + 30 is written in quadratic form as u^2 + 13u + 30. What does u equal?

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Question 6 6. According to the Fundamental Theorem of Algebra, the polynomial function f(x) = x^3 + 5x^2 - x - 5 has how many complex solutions?

Question 7 7. The following graph is of a polynomial function of degree 4. Which of the following best describes the solutions?

Question 8 8. 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 9 9. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

Question 10 10. Divide the following polynomials:

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Question 11 11.

Divide using synthetic division.

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

Question 12 12. Divide the following polynomials:

Question 13 13. Which example correctly illustrates the Remainder Theorem?

Question 14 14.

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

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

Question 15 15. Which example correctly illustrates the Factor Theorem?

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Question 16 16.

Divide using synthetic division.

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

Question 17 17. Divide using long division.

Question 18 18.

Divide using synthetic division.

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

Question 19 19. Divide using long division.

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?

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Question 21 21.

Divide using synthetic division.

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

Question 22 22. Divide using long division.

Question 23 23.

List the possible rational zeros of the following function:

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

Question 24 24. The following graph is of a polynomial function of degree 2. Are the solutions of this function real or imaginary and why?

Question 25 25. Use the Remainder Theorem to find the remainder when f(x) = x^4 + 4x^3 - x^2 - 16x -12 is divided by x - 4.

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Question 26 26.

Factor the following expression:

x^4 - 13x^2 + 36

Question 27 27.

Write the following expression in quadratic form:

2x^6 - 2x^3 - 40

Question 28 28. Which expression CANNOT be written in quadratic form?

Question 29 29. 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 30 30. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

Higher-Degree Polynomial Functions in Trigonometry: Homework Help 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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