Question

Factor completely 2x^3 + 8x^2 + 3x + 12

Answer 1

(x+4) ( 2x^2 +3)

Explanation:

2x^3 + 8x^2 + 3x + 12

Factor by grouping

2x^3 + 8x^2 + 3x + 12

Factor out 2x^2 from the first group and 3 from the second group

2x^2 ( x+4) + 3(x+4)

Factor out (x+4)

(x+4) ( 2x^2 +3)