Question

Factor the trinomial below. 12x2 - 32x - 12

Answer 1

the factor is 4(3x^2-8x-3)

4(3x+1)(x-3)

Answer 2

`4 (3 x + 1) (x - 3)`

Explanation:

The given trinomial is

`12x^2-32x-12`

Taking out GCF from the given trinomial.

`4(3x^2-8x-3)`

By splitting the middle term, the middle temr can be written as (9x-x).

`4(3x^2-(9x-x)-3)`

`4(3x^2-9x+x-3)`

`4((3x^2-9x)+(x-3))`

Taking out common factors.

`4(3x(x-3)+(x-3))`

`4(3x+1)(x-3)`

Therefore, the factored form of the given expression is
`4 (3 x + 1) (x - 3)`.