[tex] x^{5} + x^{4} + x^{3} + x^{2}+x+1 \\ \\ = (x^{5} + x^{4}) + (x^{3} + x^{2})+(x+1) \\ \\ =x^4(x+1)+x^2(x+1)+(x+1) \\ \\ =(x^4+x^2+1)(x+1) \\ \\ =\boxed{(x^2+x+1)(x^2-x+1)(x+1)}[/tex]
Note: x⁴+x²+1 was factored using completing the square, i'll show you if you want to see.
