Question

Factor this trinomial completely. 15x2 + 11x- 12

Answer 1

Answer:

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

Step-by-step explanation:

Assuming that the equation is 15x^2 and not 15 x 2, the problem proceeds as so:

Using the x method, multiply 15 by -12 and place that at the top of the x, 11 being placed at the bottom. In the x method, whatever two numbers multiply to produce the top number and add to give the bottom one are your factors.

Placing -180 at the top and 11 on the bottom, you get the numbers -9 and positive 20.

Setting up the first binomials as (x - 9) and (x +20), divide both constants by 15 as the original coefficient is not 1. This gives you 9/15 and 20/15 which simplify to the answers 3/5 and 4/3.

Answer 2

Answer:

$\large\boxed{15x^2+11x-12=(3x+4)(5x-3)}$

Step-by-step explanation:

$15x^2+11x-12\\\\=15x^2+20x-9x-12\\\\=5x(3x+4)-3(3x+4)\\\\=(3x+4)(5x-3)$