Question

How do you factor `6x^2-19x+15`?

Answer 1

Factor `y = 6x^2 - 19x + 15`

Ans: (2x - 3)(3x - 5)

Explanation:

`y = 6x^2 - 19x + 15 =` 6(x - p)(x - q).
I use the new AC Method to factor trinomials. (Google, Yahoo, Bing Search)
Converted trinomial `y' = x^2 - 19x + 90 =`(x - p')(x - q').
Factor pairs of 90 --> ...(6, 15)(9, 10). This sum is 19 = -b. Then p' = -9 and q' = -10
Therefor, `p = (p')/a = -9/6 = -3/2` and `q = -10/6 = -5/3`
Factored form `y = 6(x - 3/2)(x - 5/3) = (2x - 3)(3x - 5)`