How do you factor 2x^2+5x-12

So you find out what two numbers add up to 5 and multiply to make - 12

so since - 12 is negative we know that the two numbers have to be diffarent signs ( - times+=-)

also we see that the X^2 term is 2x^2 so we can use the 2

so the factored out form is

(2x+3) (x-4)

because the 2x times - 4=-8x

the 3 times the x=3x

add them together and get 3x + (-8x) or 5x which is our middle term

and - 4 times 3 = - 12 which is our last term

easier

multiply - 12 by two to get - 24

what goes into - 24 and adds to make 5? - 3 and 8

so the equation is 2X^2 + 8X - 3X - 12

this can cancel down to 2X (X+4) - 3 (X+4)

gather the terms to get (2X-3) (X+4)