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Poly

Author: mathforces
Problem has been solved: 9 times

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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 $Re(\frac{P(2020)-P(20)}{P(1)-P(0)})$.





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