Question 321541
{{{x^3+7x^2-5x-35}}} Start with the given expression



{{{(x^3+7x^2)+(-5x-35)}}} Group like terms



{{{x^2(x+7)-5(x+7)}}} 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+7)}}} Since we have the common term {{{x+7}}}, we can combine like terms



So {{{x^3+7x^2-5x-35}}} factors to {{{(x^2-5)(x+7)}}}



In other words, {{{x^3+7x^2-5x-35=(x^2-5)(x+7)}}}