Question 1187127


1.
{{{x^3+2x^2-5x-6}}}...............write {{{2x^2 }}}as{{{ 3x^2-x^2}}}, and {{{-5x}}} as {{{-3x-2x}}}

{{{x^3+3x^2-x^2-3x-2x-6}}}............group

{{{(x^3+3x^2)-(x^2+3x)-(2x+6)}}}.....factor out common

{{{x^2(x+3)-x(x+3)-2(x+3)}}}

{{{(x^2 - x - 2) (x + 3)}}}..........write {{{-x }}}as  {{{x-2x}}}

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

{{{((x^2 +x)- (2x + 2)) (x + 3)}}}

{{{(x(x +1)- 2(x + 1)) (x + 3)}}}

{{{(x + 1) (x - 2) (x + 3)}}}


2.

{{{x^3+x^2-x-1}}}

{{{x^3-x^2+ 2x^2-2x+x-1}}}

{{{(x^3-x^2)+ (2x^2-2x)+(x-1)}}}

{{{x^2(x-1)+ 2x(x-1)+(x-1)}}}

{{{(x - 1) (x^2 + 2 x + 1) }}}

{{{(x - 1) (x + 1)^2}}}