Question

find the remainder when x^3+1 divided by x+1 using remainder theorem

Answer 1

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.

Step-by-step explanation:

Answer 2

the remainder will be three