Question 1164195
You can begin setup as
<pre>

     ___________________________________
x+3  |   3x^4 + 2x^3 + 0x^2 - 4x - 1
     |
     |


</pre>
..

<pre>
         3x^3  -7x^2   21x   -67
     ___________________________________
x+3  |   3x^4 + 2x^3 + 0x^2 - 4x - 1
     |
     |   3x^4  9x^3
       ------------
         0     -7x^3  0x^2
               -7x^3 -21x^2
              ------------
                0    21x^2  -4x
                     21x^2  63x
                    ----------
                     0     -67x -1
                          -67x -201
                           ---------
                               200
</pre>
Result should be  {{{3x^3-7x^2+21x-67+200/(x+3)}}}.