AnswersMathematics III ASynthetic Division and the Remainder Theorem

Synthetic Division and the Remainder Theorem Answers

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What dividend is represented by the synthetic division below?

Question illustration
A
Negative 10 x squared minus 5
Option A
B
2 x cubed + 10 x squared + x + 5
Option B
C
2 x squared + 1
Option C
D
2 x cubed + x
Option D
2
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What divisor is represented by the synthetic division below?

Question illustration
A
–5
B
5
C
x + 5
D
x – 5
3

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

Question illustration
A
2 x cubed + 13 x squared + 18 x
Option A
B
2 x cubed + 5 x squared minus 18 x
Option B
C
2 x squared + 13 x + 18
Option C
D
2 x squared + 5 x minus 18
Option D
4

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

Question illustration
A
x = –4, x = –2, or x = 7
B
x = –7, x = 2, or x = 4
C
x = –7, x = 5, or x = 280
D
x = –280, x = –5, or x = 7

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