Factor p(x)=x^3+x^2+9x+9

$p (x) = x^{3} + x^{2} + 9 x + 9$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$p (x) = (x^{3} + x^{2}) + 9 x + 9$

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

$p (x) = x^{2} (x + 1) + 9 (x + 1)$

Step 2

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

$p (x) = (x + 1) (x^{2} + 9)$