Question 470107
Perform synthetic division, to get


<table cellspacing=30><tr><td>-4</td><td>|</td><td>5</td><td>-1</td><td>-3</td><td>1</td></tr><tr><td>&nbsp;</td><td>|</td><td>&nbsp;</td><td>-20</td><td>84</td><td>-324</td></tr><tr><td>&nbsp;</td><th COLSPAN=5>--------------------------------------</th></tr><tr><td>&nbsp;</td><td>&nbsp;</td><td>5</td><td>-21</td><td>81</td><td>-323</td></tr></table>



So {{{(5x^3-x^2-3x+1)/(x+4)=5x^2-21x+81-323/(x+4)}}}