Question

Q2 Find the remainder if ^3 + 1 is divisible by + 1

Answer 1

Answer:

Given, polynomial x3+1 divided by (x+1).

Then, f(x)=x3+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)=x3+1 is divided by x+1, the remainder obtained is zero. 

So, by Remainder Theorem, we know that f(x)=x3+1 when divided by x+1, gives 0 as the remainder.