Question

How do you factor `2x^2-27x+36`?

Answer 1

Factor: `y = 2x^2 - 27x + 36`

Explanation:

`y = 2x^2 - 27x + 36 =` 2(x - p)(x - q)
I use the new AC Method to factor trinomials. (Google, Yahoo Search)
Converted `y' = x^2 - 27x + 72`= (x - p')(x - q'). Roots have same sign (Rule of signs).
Factor pairs of ac = 72 -> (2, 36)(3, 24). This sum = 27 = -b.
p' = - 3 and q' = -24.
`p = -3/2` and `q = -24/2 = -12`

Factored form: `y = 2(x - 3/2)(x - 12) = (2x - 3)(x - 12)`