COURS polynome SMPC S1

Polynômes à coefficients réels ou complexes n Racines, dérivation, factorisation, formule de Taylor pour les polynômes, polynômes irréductibles dans R et C,
COURS polynome SMPC S1

cours N°1

cours N°2

cours N°3

POLYNÔMES

L'anneau des polynômes
Définition de l'ensemble des polynômes
Polynôme formel
Valuation et degré d'un polynôme
Structures algébriques sur les polynômes
Addition de polynômes
Multiplication d'un polynôme par un élément de lK
Multiplication de polynômes
Notion d'indéterminée
Fonction polynomial
Arithmétique dans JK[X]
Division euclidienne
Divisibilité dans JK[X]
Division selon les puissances croissantes
Dérivation des polynômes
Définition d'un polynôme dérivé
Dérivées successives - formule de Taylor
Racines d'un polynôme
Définition d'une racine .
Multiplicité d'une racine .
Multiplicité d'une racine et polynômes dérivés

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أقسام الوصول السريع (مربع البحث)

COURS polynome SMPC S1