# Poly

Author: mathforces
Problem has been solved: 10 times

Русский язык | English Language

Let $P$ be a polynomial with complex coefficients and for any pair of complex numbers $x$ and $y$ such that $x^2 + y^2 = -5xy$ it is known that $P (x + y) = \frac{1}{2} (P (x) + P (y))$. Find the value of $Re(\frac{P(2020)-P(20)}{P(1)-P(0)})$.