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Odd polynomial

Author: daniyar
Problem has been solved: 101 times

Русский язык | English Language



For a polynomial with integer coefficients $ P (x) = a_0 + a_1 \cdot x + ... + a_n \cdot x ^ n $ we define obdiness by the number of odd numbers among $ a_0 $, $ a_1 $, ..., $ a_n $ . Determine the obdiness of the polynomial $ P (x) = (1 + x ^ {2020}) (1 + 2 x + x ^ 2 + 2 x ^ 5 + 2 x ^ 6 + x ^ {10}) ^ {64} $.





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