madhavamathcompetition.com

A not so easy quadratic equation problem for RMO or IITJEE maths

Question: Suppose that we are given a monic quadratic polynomial $latex p(t)$. Prove that for any integer n, there exists an integer k such that $latex p(n)p(n+1)=p(k)$. :-) :-) :) Solution: Let $l…