Synthetic Division and the Remainder Theorem

Question 1

One factor of is (x + 7). What are all the roots of the function? Use the Remainder Theorem.

Revolt · Accepted Answer

x = –7, x = 2, or x = 4

Question 2

The volume of a rectangular prism is with height x + 2. Using synthetic division, what is the area of the base?

Revolt · Accepted Answer

2 x squared + 5 x minus 18

Question 3

If (x + 8) is a factor of f(x), which of the following must be true?

Revolt · Accepted Answer

f(–8) = 0

Question 4

Use synthetic division to solve . What is the quotient?

Revolt · Accepted Answer

4 x squared minus 27 x + 167 minus StartFraction 996 Over x + 6 EndFraction

Question 5

One root of is x = 2. What are all the roots of the function? Use the Remainder Theorem.

Revolt · Accepted Answer

x = 2, x = 3, or x = 4

Question 6

The area of a rectangle is with length x + 3. Using synthetic division, what is the width of the rectangle?

Revolt · Accepted Answer

5 x squared + 4 x minus 6

Question 7

What remainder is represented by the synthetic division below?

Revolt · Accepted Answer

0

Question 8

If –1 is a root of f(x), which of the following must be true?

Revolt · Accepted Answer

A factor of f(x) is (x + 1).

Question 9

What dividend is represented by the synthetic division below?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-06-03/mc002-3.jpg

Question 10

What divisor is represented by the synthetic division below?

Revolt · Accepted Answer

x + 5

Synthetic Division and the Remainder Theorem Answers