Difference between revisions of "2013 Mock AIME I Problems/Problem 14"
Sugar rush (talk | contribs) |
m |
||
Line 11: | Line 11: | ||
[[Category:Intermediate Number Theory Problems]] | [[Category:Intermediate Number Theory Problems]] | ||
− |
Revision as of 18:18, 31 July 2024
Problem
Let If are its roots, then compute the remainder when is divided by 997.
Solution
Since is prime, we have equals to mod , which by Vieta's equals . Thus our answer is .