Question 935757


The width, {{{W}}}, of a rectangular garden is {{{x-2}}}.

The area of a garden is {{{x^3 -2x-4}}}. 

The area of a garden is {{{W*L}}}; so, factor {{{x^3 -2x-4}}} so that  {{{W}}} is one factor and  {{{L}}} other factor

{{{x^3 -2x-4}}}....write {{{-2x}}} as {{{2x-4x}}} and add {{{2x^2}}} and {{{-2x^2}}}

{{{x^3+2x^2+2x-2x^2-4x-4}}}...group

{{{(x^3-2x^2)+(2x^2-4x)+(2x-4)}}}

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

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

so, an expression for the length of the garden is {{{x^2+2x+2}}}