Question

How do you factor `4x^2 - 24x + 32`?

Answer 1

`4x^2-24x+32 = 4(x^2-6x+8)`

`= 4(x^2-(2+4)x+(2xx4))`

`= 4(x-2)(x-4)`

The method by which `(x^2-6x+8)` is factored is sometimes called "Splitting the middle" - finding two numbers whose sum is the middle coefficient and whose product is the constant term.