2013 Mock AIME I Problems/Problem 14
Revision as of 19:18, 31 July 2024 by Thepowerful456 (talk | contribs)
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
.