Question 85657
Try synthetic division. You fiorst need to divide everything by 4. The expression becomes:

{{{(2z^3 - (3/2)z^2 - (5/4)z + 3/4)}}}/{{{(z + 3/4)}}}

Then, set it up to do synthetic division:

{{{-3/4}}}    2   {{{-3/2}}}   {{{-5/4}}}   {{{3/4}}}


                  {{{-3/2}}}   {{{9/4}}}    {{{-3/4}}}
             2      -3           1             0

The solution is  {{{2x^2}}} - 3x + 1