Question

How do you factor `6x^2-10x+24`?

Answer 1

`2(3x^2 - 5x + 12)`

Explanation:

`f(x) = 2y = 2(3x^2 - 5x + 12)`
Factor y, the trinomial in parentheses, by the new AC Method (Socratic Search)
`y = 3x^2 - 5x + 12`
`D = b^2 - 4ac = 25 - 144 = -119.`
Since D < 0, this trinomial y can't be factored.
`f(x) = 2y = 2(3x^2 - 5x + 12)`