Factor by Grouping 3x^3+6x^2+5x+10

$3 x^{3} + 6 x^{2} + 5 x + 10$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{3} + 6 x^{2}) + 5 x + 10$

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

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

Step 2

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

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