Question 1129021
If you must use long division, then include all degrees of x in the dividend.

<pre>
      ________________________________
2x+1  |   8x^3    0x^2    0x    1
      |
      |
      |


          4x^2    -2x     1
      ______________________________
2x+1  |   8x^3    0x^2    0x    1
      |
      |   8x^3    4x^2
      |----------------
          0      -4x^2    0x
                 -4x^2   -2x
                 ------------
                    0    2x     1
                         2x     1
                        ----------
                          0     0
</pre>
{{{4x^2-2x+1}}}