Question 777975


{{{5x^3-20x^2+9x-36}}} Start with the given expression



{{{(5x^3-20x^2)+(9x-36)}}} Group the terms in two pairs



{{{5x^2(x-4)+9(x-4)}}} Factor out the GCF {{{5x^2}}} out of the first group. Factor out the GCF {{{9}}} out of the second group



{{{(5x^2+9)(x-4)}}} Since we have the common term {{{x-4}}}, we can combine like terms



So {{{5x^3-20x^2+9x-36}}} factors to {{{(5x^2+9)(x-4)}}}



In other words, {{{5x^3-20x^2+9x-36=(5x^2+9)(x-4)}}}