Factor by Grouping x^3+3x^2+5x+15

$x^{3} + 3 x^{2} + 5 x + 15$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} + 3 x^{2}) + 5 x + 15$

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

$x^{2} (x + 3) + 5 (x + 3)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 3$ .

$(x + 3) (x^{2} + 5)$