Factor 10g^3+15g^2-12g-18

$10 g^{3} + 15 g^{2} - 12 g - 18$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(10 g^{3} + 15 g^{2}) - 12 g - 18$

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

$5 g^{2} (2 g + 3) - 6 (2 g + 3)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 g + 3$ .

$(2 g + 3) (5 g^{2} - 6)$