Really a fantastic polynomial problem
Algebra
Level
5
Let \(P(x)\) be a nonzero polynomial such that \((x-1)P(x+1) = (x+2)P(x)\) for every real \(x\), and \(\left(P(2)\right)^2 = P(3)\). Then find \(P(2016)\).
by
Priyanshu Mishra