# How do you factor 3x² + 7x = -2?

Sep 17, 2015

Factor: 3x^2 + 7x + 2

Ans: y = (3x + 1)(x + 2)

#### Explanation:

I use the new AC Method to factor trinomials (Socratic Search)
Converted trinomial y' = x^2 + 7x + 6.
Factor pairs of (6)--> (1, 6). This sum is 7 = b. Then p' = 1 and q' = 6.
Therefor, p = 1/3 and q = 6/3 = 2.
Factored form: y = 3(x + 1/3)(x + 2) = (3x + 1)(x + 2).