Question

Resposta e explicação

3$x^{3} +2x^{2}$-x-96=0

Answer 1

$\large\sf{} {3x}^{3} + {2x}^{2} - x - 96 = 0 \\ \\ \large\sf{} {3x}^{3} - {9x}^{2} + {11x}^{2} - 33x + 32x - 96 = 0 \\\large\sf{} {3x}^{2} \times \left(x - 2\right) + 11x \times \left(x - 3\right) + 32\left(x - 3\right) = 0 \\ \large\sf{}\left(x - 3\right) \times \left( {3x}^{2} + 11 + 32 \right) = 0 \\ \\ \large\sf{}x - 3 = 0 \\\large\sf{} {3x}^{2} + 11x + 32 = 0 \\ \\ \large\sf{}x = 3 \\ \large\sf{}x \cancel{\in} \mathbb{R} \\ \\ \large\sf{}{\large\boxed{\boxed{  { \large \sf x = 3}}}}$

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