# AEPA Math: Polynomials Chapter Exam

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Question 1
1.
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?

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Question 2
2.
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 3 3. To what does 'Polynomial Graph Transformation' refer?

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Question 4
4.
Two solutions of the function *f*(*x*) = *x*^3 + 5*x*^2 - 9*x* - 45 are *x* = 3 and *x* = -3. How many solutions and what types of solutions remain?

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Question 5
5.
Divide using synthetic division.

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

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#### Question 6 6. Divide using long division.

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Question 7
7.
Solve for x.

x + 2x = y

#### Question 8 8. What does it mean to 'expand a binomial'?

#### Question 9 9. Divide using long division.

#### Question 10 10. The following graph is of a polynomial function of degree 4. Which of the following best describes the solutions?

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#### Question 11 11. What does a negative leading coefficient do to a graph?

#### Question 12 12. How can you tell if a graph is from an Odd Degree Polynomial function?

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Question 13
13.
Use the Remainder Theorem to find the remainder when *f*(*x*) = *x*^4 + 4*x*^3 - *x*^2 - 16*x* -12 is divided by *x* - 4.

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Question 14
14.
List the possible rational zeros of the following function:

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

*f*(

*x*) = 6

*x*^3 - 5

*x*- 1

#### Question 15 15. Which of the following answer choices is a possible rational zero for the following function?

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Question 16
16.
What does x equal when y = 3?

x + y = 8

#### Question 17 17. Which example correctly illustrates the Factor Theorem?

#### Question 18 18. Divide using long division.

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Question 19
19.
Solve for t.

2s + 2t = 4

#### Question 20 20. Which example correctly illustrates the Remainder Theorem?

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Question 21
21.
Divide using synthetic division.

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

#### Question 22 22. What happens to the graph of a function when it is made negative?

#### Question 23 23. All polynomial graphs must:

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Question 24
24.
Subtract: (*x*3 + *x*3 + 6) - (*x*3 - 2*x* + 1)

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Question 25
25.
Which of the following should be evaluated in order to determine if *x* - 2 is a factor of *x*^3 + 3*x* - 4?

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Question 26
26.
Divide using synthetic division.

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

#### Question 27 27. What transformation to the graph occurs when f(x) = x^2 is changed to f(x) = 3(x-2)^2?

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Question 28
28.
According to the Fundamental Theorem of Algebra, the polynomial function *f*(*x*) = *x*^3 + 5*x*^2 - *x* - 5 has how many complex solutions?

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Question 29
29.
Solve for z.

x + z = 2

#### Question 30 30. What three transformations to the parent function are represented in this polynomial: f(x) = -(x + 2)^3 + 3 ?

#### AEPA 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!