Question 114367


{{{x^3-4x^2+2x-8}}} Start with the given expression


{{{(x^3-4x^2)+(2x-8)}}} Group like terms



{{{x^2(x-4)+2(x-4)}}} Factor out the GCF of {{{x^2}}} out of the first group. Factor out the GCF of {{{2}}} out of the second group



{{{(x^2+2)(x-4)}}} Since we have a common term of {{{x-4}}}, we can combine like terms


So {{{x^3-4x^2+2x-8}}} factors to {{{(x^2+2)(x-4)}}}