Question

Factor out the GCF 6x^3-9x^2-12x

Answer 1

The GCF of the 3 terms is 3x.

The expression is equal to 3x (2x² - 3x - 4)

Answer 2

`6x^3-9x^2-12x\\ first\ finding\ the\ GCF\ of\ all\ terms:\\\\ 6: \ 1,2,3,6\\ 9: \ 1,3,9\\ 12: \ 1,3,4,6,12\\ GCF=3x\\ 3x(\ \ \ )\\\\ Next\ divide\ each\ term\ of\ the\ original\ expression\ 6x^3-9x^2-12x\\ by\ GCF:\\\\ -6x^3:3x=-2x^2\\ -9x^2:3x=-3x\\ -12x:3x=-4\\\\ Answer: 3x(-2x^2-3x-4)`