MathDB
Coefficients counting

Source: 2020 Tuymaada Junior P2

October 6, 2020
algebrapolynomial

Problem Statement

All non-zero coefficients of the polynomial f(x)f(x) equal 11, while the sum of the coefficients is 2020. Is it possible that thirteen coefficients of f2(x)f^2(x) equal 99?
(S. Ivanov, K. Kokhas)