Factor by Grouping 3x^2+15x+2x+10

$3 x^{2} + 15 x + 2 x + 10$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{2} + 15 x) + 2 x + 10$

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

$3 x (x + 5) + 2 (x + 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 5$ .

$(x + 5) (3 x + 2)$