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 $x\ge 0$ .
Source: Moldova TST Problem 1, day 3
Tags: algebra, polynomial
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 $x\ge 0$ .