Factor this trinomial 12x^2+8x-15

Answer: (6x-5) (2x+3)

Step-by-step explanation:

6 and 2 are factors of 12

5and 3 are factors of 15

(6x - 5) (2x + 3).

Step-by-step explanation:

12x^2+8x-15

We use the 'ac' method:

12 * - 15 = - 180. We need two numbers whose product is - 180 and whose sum is + 8 (to make the + 8x).

These are + 18 and - 10 so we have:

12x^2 + 18x - 10x - 15 Now factor by grouping:

= 6x (2x + 3) - 5 (2x + 3) (2x + 3) is common to the 2 parts so:

= (6x - 5) (2x + 3).