Ivan Shishkin, Rye (1878)

Problems/General algebraExerciseUnreviewed

Degrés de polynômes simples

by Ancient Tree·translated by Catalpa·
3
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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Quel est le degré des polynômes suivants :
P(X)=3X2+1,Q(X)=3X5−4X+2,R(X)=8X7+9X10?P(X)=3 X^2+1, \quad Q(X)=3 X^5-4 X+2, \quad R(X)=8 X^7+9X^{10}\quad\text{?}

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Solution by Ancient Tree · translated by Catalpa

Discussions0 useful votes

Le degré de PP est 22, parce que le terme avec le plus haut degré est 3X23X^{2}.
De même, le degré de QQ est 55, tandis que le degré de RR est 1010.

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