what are the steps to factoring 6x^3-12x^2-144x

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As with factoring any problem, your first step is to look for a GCF. In this case, each term can be nicely divided by 6x. 6x (x^2 - 2x - 24) This should make your job quite a bit easier. It will now break into 2 binomials. Just don't forget to include the GCF in your answer...