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TR-MO-R1 2008 Problem 3

    P(x)=1−x+x2−x3...+x18−x19P(x) = 1 - x + x^2 - x^3 ... + x^{18} - x^{19} polinomu verilsin. Q(x)=P(x−1)Q(x) = P(x-1) şeklinde tanımlanan QQ polinomunda x2x^2 nin katsayısı kaçtır?

    a) 840 b) 816 c) 969 d) 1020 e) 1140

    Official text Turkish Mathematical Olympiad, first round 2008 official paper, page 2. Quoted with source.

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