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Question Number 123053 by Snail last updated on 22/Nov/20

Find all P(x) with real coefficients such that   P(x^2 +x+1) divides P(x^3 −1)

$${Find}\:{all}\:{P}\left({x}\right)\:{with}\:{real}\:{coefficients}\:{such}\:{that}\: \\ $$$${P}\left({x}^{\mathrm{2}} +{x}+\mathrm{1}\right)\:{divides}\:{P}\left({x}^{\mathrm{3}} −\mathrm{1}\right) \\ $$

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