Question

Find the Find the remainder when the polynomial x^3+x^2+x+1 is divided by x+1​

Answer 1

Answer:

x+1 ) x^3+x^2+x+1 ( x^2+1

x^3+x^2

———————

x+1

x+1

————

0

the answer is x^2+1 hope it's helpful

Answer 2

Answer:

Given, p(x)=x3+3x2+3x+1.

We find remainder using, x−21=0⟹x=21.

Then,

P(21)=(21)3+3(21)2+3(21)+1

=81+43+23+1

=81+6+12+8=827.

Therefore, the required remainder =827.