Question

Factor 4x2 − 4x − 24 completely. 4(x − 3)(x + 2) 4(x + 3)(x − 2) (4x + 3)(x − 2) (4x − 3)(x + 2)

Answer 1

4(x - 3)(x + 2)

Explanation:

Look at the coefficient of the terms. They are all a multiple of 4, so let's take out the 4!

4x2 - 4x - 24

= 4(x2 - x - 6)

(x2 - x - 6) can be factorised to (x - 3)(x + 2).

So the answer is 4(x - 3)(x + 2).