# How do you factor #2y^2 +5y -12# by grouping?

##### 1 Answer

Jul 16, 2016

(2y - 3)(y + 4)

#### Explanation:

Factor f(y) by the AC Method.

Find 2 numbers knowing product (ac = -24) and sum (b = 5).

They are: -3 and 8. Replace in the equation 5y by (-3y + 8y)

f(y) = 2y^2 - 3y + 8y - 12

Factor by grouping:

f(y) = y(2y - 3) + 4(2y - 3) = (2y - 3)(y + 4)