Question 115389


{{{2x^3-8x^2-9x+36}}} Start with the given expression


{{{(2x^3-8x^2)+(-9x+36)}}} Group like terms



{{{2x^2(x-4)-9(x-4)}}} Factor out the GCF of {{{2x^2}}} out of the first group. Factor out the GCF of {{{-9}}} out of the second group



{{{(2x^2-9)(x-4)}}} Since we have a common term of {{{x-4}}}, we can combine like terms


So {{{2x^3-8x^2-9x+36}}} factors to {{{(2x^2-9)(x-4)}}}