Factoring

6g^3 + 8g^2 - 15g - 20

2g^2 (3g +4) - 5(3g + 4)  =

(3g + 4) ( 2g^2 - 5)

Factor the following:
6 g^3+8 g^2-15 g-20

Factor terms by grouping. 6 g^3+8 g^2-15 g-20 = (6 g^3+8 g^2)+(-20-15 g) = 2 g^2 (3 g+4)-5 (3 g+4):
2 g^2 (3 g+4)-5 (3 g+4)

Factor 3 g+4 from 2 g^2 (3 g+4)-5 (3 g+4):
Answer: | | (3g + 4) (2g^2 - 5)