Answer:
[tex]4 (3 x + 1) (x - 3)[/tex]
Step-by-step explanation:
The given trinomial is
[tex]12x^2-32x-12[/tex]
Taking out GCF from the given trinomial.
[tex]4(3x^2-8x-3)[/tex]
By splitting the middle term, the middle temr can be written as (9x-x).
[tex]4(3x^2-(9x-x)-3)[/tex]
[tex]4(3x^2-9x+x-3)[/tex]
[tex]4((3x^2-9x)+(x-3))[/tex]
Taking out common factors.
[tex]4(3x(x-3)+(x-3))[/tex]
[tex]4(3x+1)(x-3)[/tex]
Therefore, the factored form of the given expression is [tex]4 (3 x + 1) (x - 3)[/tex].
