Question 119394

{{{2x^3+x^2-72x-36}}} Start with the given expression


{{{(2x^3+x^2)+(-72x-36)}}} Group like terms



{{{x^2(2x+1)-36(2x+1)}}} Factor out the GCF {{{x^2}}} out of the first group. Factor out the GCF {{{-36}}} out of the second group



{{{(x^2-36)(2x+1)}}} Since we have the common term {{{2x+1}}}, we can combine like terms




{{{(x-6)(x+6)(2x+1)}}} Factor {{{x^2-36}}} by use of the difference of squares 


So {{{2x^3+x^2-72x-36}}} factors to {{{(x-6)(x+6)(2x+1)}}}