Question

What will be the remainder if x3 +1 is divided x+1

(a) 1 (b) –1 (c) 3 (d) 0​

Answer 1

d) 0

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Answer 2

Answer:

Given polynomial x

3

+1 divided by (x+1)

f(x)=x

3

+1

The polynomial divided by (x+1)

Then put x=−1, we get

f(−1)=(−1)

3

+1

⇒f(−1)=−1+1

⇒f(−1)=0

So, f(x)=x

3

+1 is divided by x+1 the remainder is zero.

So, by Remainder Theorem, we know that f(x)=x

3

+1 is divided by x+1 gives 0 as the remainder.

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