Question 202950
{{{(x^4 - 3x^3 + 4x^2 - x + 1) / (x^2 + x - 3)}}}
Using long division:
<pre>
         x^2 +  (-4x)   +  11
         _________________________________________
x^2+x-3 /x^4 +  (-3x^3) +   4x^2  +   (-x) +     1
         x^4 +     x^3  + (-3x^2)
         ------------------------
                 -4x^3  +   7x^2  +   (-x)
                 -4x^3  + (-4x^2) +   12x
                 -------------------------
                           11x^2  + (-13x)  +    1
                           11x^2  +   11x   + (-33)
                           ------------------------
                                     -24x   +   34
</pre>
{{{(x^4 - 3x^3 + 4x^2 - x + 1) / (x^2 + x - 3) = x^2 +  (-4x)   +  11 + (-24x + 34)/(x^2 + x - 3)}}}