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MrDro
@MrDro
May 2019
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Bonsoir,
Mettre sous forme canonique le polynôme P(x)=x2+8x+6:
Merci
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taalbabachir
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La forme canonique d'un polynôme du second degré P(x) = x² + 8 x + 6 est:
P(x) = a(x - α)² + β
avec α = - b/2a et β = P(α)
α = - 8/2 = - 4
β = P(- 4) = (- 4)² + 8(- 4) + 6 = 16 - 32 + 6 = - 16 + 6 = - 10
La forme canonique de P(x) est P(x) = (x + 4)² - 10
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Verified answer
La forme canonique d'un polynôme du second degré P(x) = x² + 8 x + 6 est:P(x) = a(x - α)² + β
avec α = - b/2a et β = P(α)
α = - 8/2 = - 4
β = P(- 4) = (- 4)² + 8(- 4) + 6 = 16 - 32 + 6 = - 16 + 6 = - 10
La forme canonique de P(x) est P(x) = (x + 4)² - 10