# Test Prep Plan - Take a practice test

# Overview of Polynomial Equations, Functions & Inequalities Chapter Exam

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### Page 1

#### Question 1 1. Write a polynomial with roots 1, -1 and 3.

#### Question 2 2. How many roots would the following polynomial have?

#### Question 3 3. Write a polynomial with roots of 1, 2 and -2.

#### Question 4 4. If the roots of a polynomial are 2, 4 and -5, what are the factors?

#### Question 5 5. What is the procedure for subtracting polynomials:

### Page 2

####
Question 6
6.
Multiply: (*x* + 1)(*x* + 6)

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Question 7
7.
Add: (*x*2 + 5*x* + 2) + (*x*2 - 2*x* + 7).

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Question 8
8.
Subtract: (*x*2 + 3*x* + 4) - (7*x*2 - 5*x* + 2)

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Question 9
9.
A polynomial function has real coefficients, a leading coefficient of 1, and the zeros 8, -*i* and *i*. Write a polynomial function of least degree in standard form.

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Question 10
10.
A polynomial function has real coefficients, a leading coefficient of 1, and the zeros -4*i* and 4*i*. Write a polynomial function of least degree in standard form.

### Page 3

####
Question 11
11.
A polynomial function of degree 4 has the following zeros: 2, 3 and 2 - 2*i*. What is the fourth zero?

####
Question 12
12.
A polynomial function has real coefficients, a leading coefficient of 1, and the zeros 3 - *i*, 3 + *i*, 4, and 4. Write the polynomial function in factored form.

#### Question 13 13. Find the real zeros of the polynomial function.

#### Question 14 14. What are the extrema of the polynomial function?

#### Question 15 15. Even functions are symmetrical with respect to _____?

### Page 4

#### Question 16 16. What is a high point on the graph called?

#### Question 17 17. Which of the following is not a coefficient of this polynomial?

#### Question 18 18. What is the leading term of this polynomial?

#### Question 19 19. How many terms does this polynomial have?

#### Question 20 20. Which of the following is not a valid polynomial term?

### Page 5

####
Question 21
21.
Solve for x.

x + 2x = y

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Question 22
22.
What does z equal when x = 1 and y = 2?

x + y + z = 3

####
Question 23
23.
Solve for z.

x + z = 2

####
Question 24
24.
Solve for t.

2s + 2t = 4

#### Question 25 25. Which of the following is NOT a polynomial inequality?

### Page 6

####
Question 26
26.
If you're plotting three values on the number line, how many intervals does this break the number line into?

Here, the three values are: *x*1, *x*2, and *x*3 where *x*1 < *x*2 < *x*3.

*x*1,

*x*2, and

*x*3 where

*x*1 <

*x*2 <

*x*3.