# How do you factor #2x^2-7x+6#?

##### 1 Answer

Mar 27, 2016

(2x - 3)(x - 2)

#### Explanation:

Use the new AC Method (Socratic Search)

Converted

Find p' and q', knowing sum (-7) and product (12). We get: p' = -3 and q' = -4.

Therefor: p = (p')/a = -3/2 and q = (q')/a = -4/2 = -2.

Factor form: y = 2(x - 3/2)(x - 2) = (2x - 3)(x - 2)