Question

How do you factor `4x^3+8x^2-96x`?

Answer 1

y = 4x(x - 4)(x + 6)

Explanation:

`y = 4xy' = 4x(x^2 + 2x - 24)`
Factor `y' = x^2 + 2x - 24.`
Find 2 numbers knowing sum (2) and product (-24). These numbers have opposite sign, because ac < 0. They are -4 and 6.
Factored form y = 4x(x - 4)(x + 6)