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Chapter 5: Q.330. (page 552)

Use the remainder theorem to find the remainder.

fx=x3-8x+7is divided byx+3.

Short Answer

Expert verified

The solution is 4.

Step by step solution

01

Step 1. Given information.

fx=x3-8x+7is divided by x+3.

02

Step 2. Find the remainder.

Write the divisor x+3in the form of x-cas x--3, so c=-3.

Simplify the f-3by substituting x=-3in fx=x3-8x+7.

f-3=-33-8-3+7鈬�-27+24+7鈬�4

03

Step 3. Simplified answer.

Hence, the remainder is 4.

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