Question

identify the zeros of the graphed function.

a) \\(x = -1, 2, 4\\)
b) \\(x = -4, -2, 0, 1\\)
c) \\(x = -4, -2, 1\\)
d) \\(x = -1, 0, 2, 4\\)

question 4 (5 points)
use synthetic division to find the remainder if polynomial \\(p(x) = x^3 - 28x - 48\\) is divided by \\(x + 4\\).

a) 1
b) 3
c) 0
d) 2

Explanation:

Identify the x-intercepts from the graph

Using the Zeros of a Function knowledge point

$$
LATEXBLOCK0
$$

Match the zeros to the options

Using the Zeros of a Function knowledge point

$$
LATEXBLOCK1
$$

Set up synthetic division for Question 4

Using the Synthetic Division and Polynomial Remainder Theorem knowledge points

$$
LATEXBLOCK2
$$

Determine the remainder

Using the Polynomial Remainder Theorem knowledge point

$$
LATEXBLOCK3
$$

Answer:

Question 1

• A) \(x = -1, 2, 4\)
• B) \(x = -4, -2, 0, 1\)
• C) \(x = -4, -2, 1\) (Correct answer)
• D) \(x = -1, 0, 2, 4\)

Question 4

• A) 1
• B) 3
• C) 0 (Correct answer)
• D) 2