Question 595383
{{{12x^3+2x^2-30x-5}}} Start with the given expression



{{{(12x^3+2x^2)+(-30x-5)}}} Group the terms in two pairs



{{{2x^2(6x+1)-5(6x+1)}}} Factor out the GCF {{{2x^2}}} out of the first group. Factor out the GCF {{{-5}}} out of the second group



{{{(2x^2-5)(6x+1)}}} Since we have the common term {{{6x+1}}}, we can combine like terms



So {{{12x^3+2x^2-30x-5}}} factors to {{{(2x^2-5)(6x+1)}}}



In other words, {{{12x^3+2x^2-30x-5=(2x^2-5)(6x+1)}}}