Solve in Z[X] 1) XP ′ ≡ −1 mod(X^4 +1) 2) X^3 P −P ′ ≡ 1−X^2 mod(X^4 +1) 3) P^2 −X^3 P−X^2 ≡ 0 mod(X^2 +2)


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Question Number 146108 by savitar last updated on 11/Jul/21

$S o l v e i n Z [X]$ $1) X P^{'} \equiv - 1 m o d (X^{4} + 1)$ $2) X^{3} P - P^{'} \equiv 1 - X^{2} m o d (X^{4} + 1)$ $3) P^{2} - X^{3} P - X^{2} \equiv 0 m o d (X^{2} + 2)$
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