Factor P(x)=x^3+2x^2+4x+8

$P (x) = x^{3} + 2 x^{2} + 4 x + 8$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$P (x) = (x^{3} + 2 x^{2}) + 4 x + 8$

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

$P (x) = x^{2} (x + 2) + 4 (x + 2)$

Factor the polynomial by factoring out the greatest common factor, $x + 2$ .

$P (x) = (x + 2) (x^{2} + 4)$