#### Answer

3(x+4)(x-2)

#### Work Step by Step

First factor out the GCF.
3x$^2$+6x-24
3(x$^2$+2x-8)
In the trinomial x$^2$+2x-12, b=2 and c=-8.
The set of factors of c whose sum is equal to b are 4 and -2.
Therefore the final factorization is:
3(x+4)(x-2)