Question 1057661
Account for ALL degrees of x in the dividend.


<pre>

          ___________________________________________
          |
  x^2-2   |  2x^4   0x^3    -5x^2    +0x    -3
          |
          |________________


</pre>

<pre>
              2x^2     0      -1
          ___________________________________________
          |
  x^2-2   |  2x^4     0x^3    -5x^2    +0x    -3
          |  2x^2             -4x^2
          |_________________________
             0        0x^3    -x^2     0x
                              -x^2             2
                              ____________________
                                0       0     -5

</pre>


Quotient is  {{{2x^2-1-5/(x^2-2)}}}.


Know that I used polynomial division.  A way is possible using synthetic division but synthetic division is more commonly known for use with linear binomial divisor.