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Find all polynomials...

Source: Moldova TST Problem 1, day 3

March 31, 2015

algebrapolynomial

Problem Statement

Find all polynomials

P(x)

with real coefficients which satisfies \\

P(2015)=2025

and

P(x)-10=\sqrt{P(x^{2}+3)-13}

for every

x\ge 0