Question 469410
Use synthetic division to get




<table cellspacing=30><tr><td>7</td><td>|</td><td>7</td><td>-9</td><td>-4</td><td>3</td></tr><tr><td>&nbsp;</td><td>|</td><td>&nbsp;</td><td>49</td><td>280</td><td>1932</td></tr><tr><td>&nbsp;</td><th COLSPAN=5>--------------------------------------</th></tr><tr><td>&nbsp;</td><td>&nbsp;</td><td>7</td><td>40</td><td>276</td><td>1935</td></tr></table>


Since the last entry is 1935, the remainder is 1935. So this means that P(7) = 1935


Note: let me know if you need any help with synthetic division