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TOT 415 1994 Spring A S3 (P(x))^n has pos. coefficients ?

Source:

June 12, 2024
algebrapolynomial

Problem Statement

At least one of the coefficients of a polynomial P(x)P(x) is negative. Can all of the coefficients of all of its powers (P(x))n(P(x))^n, n>1n > 1, be positive?
(0 Kryzhanovskij)
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