Ivan Shishkin, Rye (1878)

Problems/OtherUnreviewed

Des polynômes à coefficients-racines

by Ancient Tree·
36
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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Déterminer tous les polynômes unitaires à coefficients entiers :
P(X)=a0+a1X+…+an−1Xn−1+XnP(X)=a_{0}+a_{1}X+\ldots+a_{n-1}X^{n-1}+X^{n}dont les racines sont exactement a0,…,an−1a_{0},\ldots,a_{n-1}.

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