completely factor each quadratic

Question

6x^2+7x-20

Answer 1

6x^2 + 7x - 20

find two numbers whose sum is 7 and whose product is 6*-20 = -120

those two numbers would be 15 and -8

rewrite quadratic as follows:

6x^2 + 15x -8x -20

factor by grouping

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

use distributive property to complete factoring

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