Question

by using remainder theorem,check whether (x+1) is factor of x^3+3x^2+3x+1​

Answer 1

Given polynomial is f(x)=x

3 +3x 2 +3x+1

It has to be divided by x+1.

Then x+1=0 or x=−1

Put the value x=−1, we get

f(−1)=(−1)

3 +3(−1) 2 +3(−1)+1

⇒f(−1)=−1+3−3+1

⇒f(−1)=0

So, the remainder is 0, then x+1 is divided polynomial x

3 +3x 2 +3x+1.

hope it will help you friend ✌️✌️✨ XD....