Question 146162


{{{x^3-2x^2+7x-14}}} Start with the given expression


{{{(x^3-2x^2)+(7x-14)}}} Group like terms



{{{x^2(x-2)+7(x-2)}}} Factor out the GCF {{{x^2}}} out of the first group. Factor out the GCF {{{7}}} out of the second group



{{{(x^2+7)(x-2)}}} Since we have the common term {{{x-2}}}, we can combine like terms


So {{{x^3-2x^2+7x-14}}} factors to {{{(x^2+7)(x-2)}}}