Question 173191


{{{x^3-8x^2+5x-40}}} Start with the given expression



{{{(x^3-8x^2)+(5x-40)}}} Group like terms



{{{x^2(x-8)+5(x-8)}}} Factor out the GCF {{{x^2}}} out of the first group. Factor out the GCF {{{5}}} out of the second group



{{{(x^2+5)(x-8)}}} Since we have the common term {{{x-8}}}, we can combine like terms



So {{{x^3-8x^2+5x-40}}} factors to {{{(x^2+5)(x-8)}}}