Question 373986
Find all roots by factoring:
{{{f(x) = x^3+7x^2+10x}}} First, factor an x since this is a common factor in all three terms.
{{{f(x) = x(x^2+7x+10)}}} Now factor the trinomial.
{{{f(x) = x(x+5)(x+2)}}} Now set {{{f(x) = 0}}}
{{{x(x+5)(x+2) = 0}}} Apply te zero product rule.
{{{x = 0}}} or {{{x+5 = 0}}} or {{{x+2 = 0}}} so the roots are:
{{{x = 0}}}
{{{x = -5}}}
{{{x = -2}}}