Si \(x^2 - 5x + 6 = 0\), trouvez la valeur de \(x^3 - 3x^2 + 2x\).
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- Somme = \(\frac{6}{2} \times (15 + 90) = 3 \times 105 = 315\).
- Somme totale = \(1683 + 950 - 315 = 2318\).
- #### 2318
- Résolvez l’équation quadratique \(x^2 - 5x + 6 = 0\) par factorisation : \((x-2)(x-3) = 0\), donc \(x = 2\) ou \(x = 3\).
- Évaluez \(x^3 - 3x^2 + 2x\) pour chaque racine :
- Pour \(x = 2\) : \(2^3 - 3 \times 2^2 + 2 \times 2 = 8 - 12 + 4 = 0\).
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