Question

How do you write `f(x)=4x^2-12x+5` in factored form?

Answer 1

`f(x) = (2x - 5) (2x - 1)`

Explanation:

`f(x) = 4x^2 - 12x + 5`

`f(x) = ((4x - 10) (4x - 2)) /4`

`4 * 5 = 20`

You want factors of 20 that add to 12.

`f(x) = (cancel(2)(2x - 5) cancel(2)(2x - 1))/cancel(4)`

`f(x) = (2x - 5) (2x - 1)`