Question

Factor 4x2 − 4x − 24 completely.

Answer 1

4x² - 4x - 24 = 4(x² -x - 6) = 4(x+2)(x-3)

Answer 2

`4x^2-4x-24= 4\left(x+2\right)\left(x-3\right)`

Explanation:

To factor the expression
`4x^2-4x-24` you must:

Factor out common term 4:
`4\left(x^2-x-6\right)`

Now, factor
`x^2-x-6`

Break the expression into groups

`\left(x^2+2x\right)+\left(-3x-6\right)`

Factor out
`x` from
`x^2+2x`:
`x\left(x+2\right)`

Factor out -3 from
`-3x-6`:
`-3\left(x+2\right)`

Next, factor out common term
`x+2`

`\left(x+2\right)\left(x-3\right)`

Therefore,

`4x^2-4x-24= 4\left(x+2\right)\left(x-3\right)`