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Chapter 4: Q. 90 (page 210)

What is the remainder when f(x)=-3x17+x9-x5+2xis divided byx+1?

Short Answer

Expert verified

The remainder is 1.

Step by step solution

01

Step 1. Concept used 

The Remainder Theorem states that if f is a polynomial function and f(x)is divided by x-c, then the remainder is f(c).

02

Step 2. Use the Remainder Theorem 

Using the remainder theorem when the function f(x)=-3x17+x9-x5+2xis divided by x+1then the remainder is given as f(-1).

Now the function value is evaluated as

f(-1)=-3(-1)17+(-1)9-(-1)5+2(-1)f(-1)=3-1+1-2f(-1)=1

So the remainder is1.

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