Question

Seja o polinômio R(x)= x³ - 7x² + 3k - 4. Calculando o valor numérico de K,para P(- 2)=5, Obtemos:

Answer 1

$P(x) = x^{3}-7x^{2}+3k-4 \\\\ P(-2) = (-2)^{3}-7 \cdot (-2)^{2}+3k-4 \\\\ -8-28+3k-4 = 5 \\\\ 3k = 5+8+28+4 \\\\ 3k = 45 \\\\ k = \frac{45}{3} \\\\ \boxed{\boxed{k = 15}}$