Factor this trinomial completely.

10x2 + 7x - 12

A. (2x + 3) (5x - 4)

B. (x + 4) (10x - 3)

C. (x + 3) (10x - 4)

D. (2x + 4) (5x - 3)

First you want to write 7x as a sum or difference: 15x-8x

Now, the expression would look like this: 10x^2+15x-8x-12

Next, factor out the 5x and - 4 from the expression: 5x (2x+3) - 4 (2x+3)

Now, factor out the 2x+3 from the expression and you have your answer:

(2x+3) (5x-4)