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Find Poly

Source: Iranian RMM TST 2020 Day2 P6

January 14, 2020
algebrapolynomial

Problem Statement

For all n>1n>1. Find all polynomials with complex coefficient and degree more than one such that (p(x)−x)2(p(x)-x)^2 divides pn(x)−xp^n(x)-x. (p0(x)=x,pi(x)=p(pi−1(x))p^0(x)=x , p^i(x)=p(p^{i-1}(x)))
Proposed by Navid Safaie
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