Question 910916
{{{f(x) = 121x^3 - 121x^2 - 26x }}}


{{{f(x) = x(121x^2 - 121x - 26) }}} ...write {{{-121x}}} as {{{-143x+22x}}}

{{{f(x) = x(121x^2-143x+22x-26) }}} group

{{{f(x) = x((121x^2-143x)+(22x-26)) }}} 

{{{f(x) = x(11x(11x-13)+2(11x-13)) }}} 

{{{f(x) = x(11x+2)(11x-13) }}}

zeros:

{{{ x=0 }}}

{{{ 11x+2=0 }}} => {{{11x=-2}>{{{x=-2/11=-0.1818181818181818=-0.18}}}

{{{ 11x-13=0 }}} => {{{11x=13}>{{{x=13/11=1.181818181818182=1.18}}}


in increasing order: {{{x=-0.18}}},{{{x=0}}},{{{x=1.18}}}


{{{ graph( 600, 600, -5, 5, -5, 5, 121x^3 - 121x^2 - 26x) }}}