NES Math: 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!

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Question 1 1. What is the degree of this function: y = 3x^2 - 4x^5 + x - 1.

Question 2 2. What does a negative leading coefficient do to a graph?

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

Question 4 4.

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

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

Question 5 5. 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 6 6. To what does 'Polynomial Graph Transformation' refer?

Question 7 7.

Solve for x.

x + 2x = y

Question 8 8. All polynomial graphs must:

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. Expand (a + b)^5.

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Question 11 11. What is the leading coefficient of this function: y = x^3 - 2x^4 + 1

Question 12 12. Divide using long division.

Question 13 13. Multiply: (x + 1)(x + 6)

Question 14 14. Consider: 3ab + 4b. Name the Terms.

Question 15 15. 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 16 16. What three transformations to the parent function are represented in this polynomial: f(x) = -(x + 2)^3 + 3 ?

Question 17 17. Divide using long division.

Question 18 18. How will the graph of f(x)=x^3 transform when changed to f(x) = x^3 - 5?

Question 19 19. 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 20 20.

Divide using synthetic division.

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

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Question 21 21. 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 22 22. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

Question 23 23.

List the possible rational zeros of the following function:

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

Question 24 24.

Divide using synthetic division.

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

Question 25 25. Which of the following answer choices is a possible rational zero for the following function?

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Question 26 26.

What does z equal when x = 1 and y = 2?

x + y + z = 3

Question 27 27.

Divide using synthetic division.

(x3 + 9) / (x + 2)

Question 28 28. Which answer choice is not a possible rational zero for the following function?

Question 29 29.

Divide using synthetic division.

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

Question 30 30.

Divide using synthetic division.

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

NES Math: 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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