Question 1042780
Same as long division, but here, with polynomials instead of base ten numbers.


<pre>
          3x^3    x^2    x    -2
     ___________________________________________
     |
x-1  |    3x^4 - 4x^3 +0x^2 - 3x -1
     |    3x^4 -3x^3
     |_______________
           0     x^3 + 0x^2
                 x^3 -x^2
                ___________
                 0    x^2 - 3x
                      x^2 -  x
                     _________
                       0   -2x - 1
                           -2x + 2
                            ________
                             0  -3

</pre>

Full quotient with remainder is  {{{highlight(3x^3+x^2+x-2-3/(x-1))}}}.