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Chapter 5: Q.336. (page 552)

Use the factor theorem to determine whetherx-2a factor ofx3-7x2+7x-6.

Short Answer

Expert verified

No,x-2is not a factor ofx3-7x2+7x-6.

Step by step solution

01

Step 1. Given information.

x3-7x2+7x-6andx-2is the factor of polynomial function.

02

Step 2. To simplify the polynomial function, by using remainder theorem.

According to the remainder theorem x-2is a factor of fx=x3-7x2+7x-6, if f2=0.

Substitute x=2in fx=x3-7x2+7x-6.

f2=23-722+72-6鈬�8-28+14-6鈬�-12

03

Step 3. Simplified answer.

Sincef2is not equal to zero, sox-2is not a factor offx=x3-7x2+7x-6.

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