Question 114952
Factor 3{{{x^3}}} - 6{{{x^2}}} - 24x

What we need to do here is gather the common factors.  These terms have a common factor of 3 and a common factor of x, so we can factor out a 3x:

3x({{{x^2}}} - 2x - 8)
Now we need to see if {{{x^2}}}-2x-8 can be factored further.  Can we find factors of -8 that sum to -2?  Yes, -4 and 2.

Which makes the answer --
3x(x-4)(x+2)