2019 OIM Problems/Problem 2
Problem
Find all polynomials 
of degree 
with integer coefficients such that for every real number 
it holds
![\[P(x) = (x - P(0))(x - P(1))(x - P(2))\cdots(x - P(n - 1))\]](http://latex.artofproblemsolving.com/d/9/6/d96eff08a8d37082d15a7ef20323292c7d1b3d2c.png)
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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