Question

If (x+1) is a factor of the polynomial x^3+2x^2+2x++1. Find the other factors

Answer 1

x²+x+1 is other factor of x³+2x²+2x+1

Answer 2

When we divide $x^{3} + 2x^{2} + 2x+ 1$ by x+1, the answer is $x^{2} + x + 1$

This polynomial cannot be further factorised. 
So the other factor is [tex] x^{2} + x +1 [/tex]