Question 117165


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


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



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



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


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