Name:    AII.8 - Solutions, Zeros, and Factors

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1

Which phrase describes the roots of the equation ?
 a. Exactly 2 distinct real roots c. Exactly 1 distinct root b. Exactly 2 distinct imaginary roots d. Exactly 1 real root and 1distinct imaginary root.

2

Which phrase describes the roots of the equation ?
 a. Exactly 2 distinct real roots c. Exactly 3 distinct roots b. Exactly 2 distinct imaginary roots d. Exactly 1 real root and 2 distinct imaginary roots.

3

Which phrase describes the roots of the equation ?
 a. Exactly 2 distinct real roots c. Exactly 1 distinct root b. Exactly 2 distinct imaginary roots d. Exactly 1 real root and 1distinct imaginary root.

4

A polynomial function P(x) has zeros .  Which of the following represents the factors of P(x)?
 a. b. c. d.

5

Identify the equation that best represents the graph p(x).

 a. b. c. d.

6

Choose one of these phrases to describe the roots of the function .
 a. 2 distinct real roots b. 2 distinct imaginary roots c. 3 distinct real roots d. exactly 1 real root and 2 distinct imaginary roots

7

Write the equation of the graph shown as a product of the factors.

 a. c. b. d.

8

A polynomial function has a zero at   x = 3.   Which of the following expressions
must be one factor of the polynomial?
 a. b. c. d.

Multiple Response
Identify one or more choices that best complete the statement or answer the question.

9

Directions: Click on a box to choose each factor you want to select.  You must select all correct factors.

The zeros of a cubic function f(x) are -1, , and 5.  Select all of the factors of f(x).
 a. (x - 1) d. (x + 1) b. (3x + 2) e. (3x - 2) c. (x + 5) f. (x - 5)

10

Choose all the statements that are true based on the graph below.

 a. The zeros are -7 and 9. b. The solutions to the equation represented by the graph when are x = -7 and x = 9 c. The x-intercepts of the function are (0, -7) and (0, 9). d. The factored form of the function would include the factors (x +7) and (x - 9).