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239 Open MO, 2018, Senior League, Problem 6

Source: 239 Open MO, 2018, Senior League, Problem 6

April 4, 2023
algebra

Problem Statement

For which positive integers nn, mm does there exist a polynomial of degree nn, all coefficients of which are powers of mm with integer exponents, having nn rational roots, counting multiplicities?
Proposed by Fedor Petrov
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