Question 475596


{{{3x^3-6x^2-5x+10}}} Start with the given expression



{{{(3x^3-6x^2)+(-5x+10)}}} Group like terms



{{{3x^2(x-2)-5(x-2)}}} Factor out the GCF {{{3x^2}}} out of the first group. Factor out the GCF {{{-5}}} out of the second group



{{{(3x^2-5)(x-2)}}} Since we have the common term {{{x-2}}}, we can combine like terms



So {{{3x^3-6x^2-5x+10}}} factors to {{{(3x^2-5)(x-2)}}}



In other words, {{{3x^3-6x^2-5x+10=(3x^2-5)(x-2)}}}