Question

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

Answer 1

Answer:

(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).

Answer 2

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

Step-by-step explanation:

6 and 2 are factors of 12

5and 3 are factors of 15