Question 1170096
 {{{x^4 + 2x^3 - 13x^2 - 14x + 24 = 0}}} .......factor; write {{{2x^3}}} as{{{ -3x^3+5x^3}}},{{{-13x^2}}} as{{{ -15x^2+ 2 x^2}}}, {{{- 14x}}} as{{{ - 8x-6x}}}

{{{x^4-3x^3+5x^3 + 2 x^2 -8x-15x^2-6x+24=0}}} ...group

{{{(x^4-3x^3)+(5x^3-15x^2) + (2 x^2-6x) -(8x-24)=0 }}}

{{{x^3(x-3)+5x^2(x-3) + 2x( x-3) - 8(x-3)=0 }}}

{{{(x - 3) (x^3 + 5x^2 + 2 x - 8) = 0}}}  

{{{(x - 3) (x^3 +6x^2+8x-x^2 -6 x - 8) = 0}}}

{{{(x - 3) ((x^3-x^2) +(6x^2-6 x)+(8x  - 8)) = 0}}}

{{{(x - 3) (x^2(x-1) +6x(x-1)+8(x  - 1)) = 0}}}

{{{(x - 3) (x-1)(x^2 +6x+8) = 0}}}

{{{(x - 3) (x-1)(x^2 +2x+4x+8) = 0}}}

{{{(x - 3) (x-1)((x^2 +2x)+(4x+8)) = 0}}}

{{{(x - 3) (x-1)(x(x +2)+4(x+2)) = 0}}}

{{{(x - 3) (x - 1) (x + 2) (x + 4) = 0}}}

zeros:
{{{x=3}}}
{{{x=1}}}
{{{x=-2}}}
{{{x=-4}}}


{{{ graph( 600, 600, -10, 10, -30, 30, x^4 + 2x^3 - 13x^2 - 14x + 24) }}}