Question 1136873


Length: {{{3x-4}}}
Area: {{{6x^4-8x^3+9x^2-9x-4 }}}

{{{Area=Length*Width}}}

{{{Width=Area/Length}}}


so, you need to divide  {{{6x^4-8x^3+9x^2-9x-4 }}}by{{{ 3x-4}}} to find the width

{{{(6x^4-8x^3+9x^2-9x-4)/(3x-4)}}}....factor numerator completely

{{{(6x^4-8x^3+9x^2-6x-3x-4)/(3x-4)}}}.....write {{{-9x}}} as {{{-12x+3x}}}

{{{((6x^4-8x^3)+(9x^2-12x)+(3x-4))/(3x-4)}}}.......group

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

{{{((3 x - 4) (2 x^3 + 3 x + 1))/(3x-4)}}}....simplify

{{{2 x^3 + 3 x + 1}}}=> your answer for  the width