Question

O- Find remainder when x³+x+1 is divided by (x-1)


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Answer 1

Answer:

Given, polynomial x

3

+1 divided by (x+1).

Then, f(x)=x

3

+1.

The polynomial is divided by (x+1) .

Then put (x+1)=0⟹ x=−1, we get,

f(−1)=(−1)

3

+1

⇒f(−1)=−1+1

⇒f(−1)=0.

So, when f(x)=x

3

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

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

3

+1 when divided by x+1, gives 0 as the remainder.

Answer 2

Answer:3

Step-by-step explanation: