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Question Number 30596 by abdo imad last updated on 23/Feb/18

find all polynomial wich verify   p(x^2 ) +p(x)p(x+1)=0.

$${find}\:{all}\:{polynomial}\:{wich}\:{verify}\: \\ $$$${p}\left({x}^{\mathrm{2}} \right)\:+{p}\left({x}\right){p}\left({x}+\mathrm{1}\right)=\mathrm{0}. \\ $$

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