Problème du second degré


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Exercice 12 : On lâche une petite bille en acier d'une hauteur de 15 m Avec des capteurs placés à intervalles réguliers on a mesuré la distance parcourue 

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Comment calculer le trinôme du second degré ?

  • Définition 1 : On appelle trinôme du second degré ou simplement trinôme, le polynôme P(x), à coefficients réels, de la forme : P(x) = ax2 + bx + c avec a , 0 Exemples : Les trois polynômes suivants sont des trinômes P. 1(x) = x2 + 2x 8 P. 2(x) = 2x2 + 3x 14 P. 3(x) = x2 + 4x 5.

Comment calculer l’équation du second degré ?

  • (m 1)x2 2mx + m+ 3 = 0 (E. m) Pour que cette équation soit du second degré, il faut que le coefficient devant x2 soit non nul.
    . Sinon l’équation est du premier degré. 1
    .Si m = 1, alors l’équation est du premier degré. 2x + 4 = 0 soit x = 2 2
    .Si m , 0, l’équation est du second degré.










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