Factor p(x)=x^3+x^2+x+1

$p (x) = x^{3} + x^{2} + x + 1$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$p (x) = (x^{3} + x^{2}) + x + 1$

Factor out the greatest common factor (GCF) from each group.

$p (x) = x^{2} (x + 1) + 1 (x + 1)$

Factor the polynomial by factoring out the greatest common factor, $x + 1$ .

$p (x) = (x + 1) (x^{2} + 1)$