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TR-MO-R1 2022 Problem 23

    Her xx gerçel sayısı için (x−27)P(3x)=(27x−27)P(x)(x-27)P(3x) = (27x-27)P(x) koşulunu sağlayan ve sabit olmayan P(x)P(x) polinomunun gerçel kökleri toplamı nedir?

    a) 30 b) 33 c) 36 d) 39 e) 42

    Official text Turkish Mathematical Olympiad, first round 2022 official paper, page 13. Quoted with source.

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