I need with the factoring part.

Answer:
[tex]\left(x+2\right)\left(x-6\right)[/tex]
^ factors
GCF: 6x
Step-by-step explanation:
[tex]6x^3-24x^2-72x[/tex]
[tex]6x^2x-24xx-72x[/tex]
[tex]6x\left(x^2-4x-12\right)[/tex]
Common term is [tex]6x[/tex].
[tex]x^2-4x-12[/tex]
[tex]\left(x^2+2x\right)+\left(-6x-12\right)[/tex]
[tex]x\left(x+2\right)[/tex]
[tex]-6\left(x+2\right)[/tex]
[tex]\left(x+2\right)\left(x-6\right)[/tex]
^ factors
[tex]6x\left(x+2\right)\left(x-6\right)[/tex]