Question 166602
Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x).
P(x)=x^4+2x^3-2x+4
d(x)=x-2 
.
NOTE: it will be easier to see the solution (because of the spacing) below if you view the "source"!
.
          x^3+5x^2+2x+2
     _______________
x-2 |x^4+2x^3+0x^2-2x+4
     x^4-3x^3
     ---------
         5x^3+0x^2-2x+4
         5x^3-2x^2
         --------------
              2x^2-2x+4
              2x^2-4x
              ---------
                   2x+4
                   2x-4
                   ----
                      8
.
Therefore:
Q(x) = x^3+5x^2+2x+2
R(x) = 8/(x^4+2x^3+0x^2-2x+4)