Question 1051132


{{{P(x) = x^3 + 3x^2 -13x -15}}} ...........write {{{3x^2}}} as {{{x^2+2x^2}}} and {{{-13x}}} as {{{2x-15x}}}

{{{P(x) = x^3+x^2+ 2x^2+2x-15x-15}}}........group

{{{P(x) = (x^3+x^2)+ (2x^2+2x)-(15x+15)}}}

{{{P(x) = x^2(x+1)+2x (x+1)-15(x+1)}}}

{{{P(x) =  (x+1) (x^2+2x-15)}}}

{{{P(x) =  (x+1) (x^2+5x-3x-15)}}}

{{{P(x) =  (x+1) ((x^2+5x)-(3x+15))}}}

{{{P(x) =  (x+1) (x(x+5)-3(x+5))}}}

{{{P(x) =  (x+1) (x-3) (x+5)}}}

solutions

{{{(x+1) (x-3) (x+5)=0}}}

if {{{(x+1) =0}}}->{{{x=-1}}}...the multiplicity {{{1}}}
if {{{ (x-3)=0}}}->{{{x=3}}}...the multiplicity {{{1}}}
if {{{ (x+5)=0}}}->{{{x=-5}}}...the multiplicity {{{1}}}

 your answers from smallest to largest:
{{{x=-5}}}
{{{x=-1}}}
{{{x=3}}}