Higher-Degree Polynomial Functions in Trigonometry: Tutoring Solution 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. Which of the following should be evaluated in order to determine if x - 2 is a factor of x^3 + 3x - 4?

Question 2 2. Divide using long division.

Question 3 3. Divide the following polynomials:

Question 4 4. Divide using long division.

Question 5 5.

Divide using synthetic division.

(x3 + 9) / (x + 2)

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Question 6 6. Which of the following answer choices is a possible rational zero for the following function?

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

Question 8 8.

Factor the following expression:

x^8 + 8x^4 + 15

Question 9 9. Divide using long division.

Question 10 10. Which expression CANNOT be written in quadratic form?

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Question 11 11.

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

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

Question 12 12. Divide using long division.

Question 13 13. Divide the following polynomials:

Question 14 14.

Divide using synthetic division.

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

Question 15 15.

Divide using synthetic division.

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

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Question 16 16. The following graph is of a polynomial function of degree 4. Which of the following best describes the solutions?

Question 17 17. The following graph is of a polynomial function of degree 2. Are the solutions of this function real or imaginary and why?

Question 18 18. Which example correctly illustrates the Factor Theorem?

Question 19 19. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1)

Question 20 20. Divide the following polynomials:

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Question 21 21. Divide the following polynomials:

Question 22 22. 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 23 23.

Factor the following expression:

x^4 - 13x^2 + 36

Question 24 24. 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 25 25.

Divide using synthetic division.

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

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Question 26 26.

Divide using synthetic division.

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

Question 27 27. According to the Fundamental Theorem of Algebra, the polynomial function f(x) = x^3 + 5x^2 - x - 5 has how many complex solutions?

Question 28 28. Divide the following polynomials:

Question 29 29. The polynomial x^6 + 13x^3 + 30 is written in quadratic form as u^2 + 13u + 30. What does u equal?

Question 30 30. 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?

Higher-Degree Polynomial Functions in Trigonometry: Tutoring Solution 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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