Question

How do you factor `2x ^ { 2} - 19x + 24`?

Answer 1

`(x-8)(2x-3)`

Explanation:

`2x^2-19x+24=(x-8)(2x-3)`

Answer 2

(2x - 3)(x - 8)

Explanation:

Use the new AC Method (Socratic Search)
`y = 2x^2 - 19x + 24 =` 2(x + p)(x + q)
Converted trinomial: `y' = x^2 - 19x + 48 =` (x + p')(x + q')
Product p'q' = (-3)(-16) = 48
Sum p' + q' = - 3 - 16 = - 19 -->
p' = -3 and q' = -16
Back to y --> `p = -3/2` and `q = -16/2 = - 8`
Factored form y = 2(x -3/2)(x - 8) = (2x - 3)(x - 8)