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Higher-Degree Polynomial Functions in Trigonometry: Help and Review 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. According to the Fundamental Theorem of Algebra, the polynomial function f(x) = x^3 + 5x^2 - x - 5 has how many complex solutions?

Question 2 2.

Factor the following expression:

x^8 + 8x^4 + 15

Question 3 3. Divide using long division.

Question 4 4.

Divide using synthetic division.

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

Question 5 5.

Divide using synthetic division.

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

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Question 6 6. Which of the following should be evaluated in order to determine if x - 2 is a factor of x^3 + 3x - 4?

Question 7 7. Divide the following polynomials:

Question 8 8. Divide using long division.

Question 9 9. 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 10 10. Which expression CANNOT be written in quadratic form?

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Question 11 11. Divide using long division.

Question 12 12.

Write the following expression in quadratic form:

2x^6 - 2x^3 - 40

Question 13 13. 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 14 14. Which answer choice is not a possible rational zero for the following function?

Question 15 15. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

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Question 16 16. Which example correctly illustrates the Factor Theorem?

Question 17 17. Divide the following polynomials:

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.

Divide using synthetic division.

(x3 + 9) / (x + 2)

Question 20 20. 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?

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Question 21 21. Divide the following polynomials:

Question 22 22.

Divide using synthetic division.

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

Question 23 23.

Divide using synthetic division.

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

Question 24 24. Divide using long division.

Question 25 25. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

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Question 26 26.

List the possible rational zeros of the following function:

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

Question 27 27. 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 28 28. Divide the following polynomials:

Question 29 29. Divide the following polynomials:

Question 30 30.

Factor the following expression:

x^4 - 13x^2 + 36

Higher-Degree Polynomial Functions in Trigonometry: Help and Review 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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