Question 1008058
The dividend, P(x), is missing a needed term for performing the polynomial division process, but is shown in this arrangement:


<pre>

         |________________________________________   
 2x+1    |     4x^3      0*x^2      7x      7
         |
         |_____________________
</pre>


<pre>

               2x^2      -x         4
         |_______________ _________________________   
 2x+1    |     4x^3      0*x^2      7x      7
         |
         |     4x^3      2x^2
         |_____________________
               0         -2x^2     7x
                         -2x^2     -x
                        ______________
                          0        8x       7
                                   8x       4
                                  _____________
                                   0        3
</pre>

{{{highlight(4x^3+7x+7=(2x+1)(2x^2-x+4)+3)}}}