# Can #y=3x^2-39x-90 # be factored? If so what are the factors ?

##### 1 Answer

Dec 16, 2015

Factor y = 3x^2 - 39x - 90

Ans: y = (x +2)(x -15)

#### Explanation:

I use the new AC Method to factor trinomials (Socratic Search)

Find 2 numbers knowing sum (b = -13) and product (c = -30)

Factor pairs of (-30) --> (-2, 15). This sum is 13 = -b. Then the opposite sum gives 2 numbers: 2 and - 15.

Factored form: