Question 919927
{{{f(x) = x^3 + x^2 - 12x}}}


{{{f(x) = x(x^2 + x -12)}}} .........write {{{x}}} as {{{4x-3x}}}

{{{f(x) = x(x^2 +4x-3x -12)}}} group

{{{f(x) = x((x^2 +4x)-(3x +12))}}}

{{{f(x) = x(x(x +4)-3(x +4))}}}

{{{f(x) = x(x+4)(x-3)}}} set {{{f(x) =0}}}}

{{{0= x(x+4)(x-3)}}}

solutions:

{{{x=0}}}
{{{x+4=0}}}=>{{{x=-4}}}
{{{x-3=0}}}=>{{{x=3}}}


{{{ graph( 600, 600, -15, 15, -15, 25, x^3 + x^2 - 12x) }}}