Question 1005023
You need terms for all degrees for the dividend just as you need to account for all included place values in regular long division.  The x=-2 divisor represents the binomial (x+2).


<pre>
      -2      |      -3    5      0     -1     7
              |
              |            6     -22    44    -86
              |__________________________________________
                    -3    11     -22    43     -79
</pre>