Question

Dado o polinomio P(x) = x³ - mx² + x + 2m determine o valor de m para P(2) = 4

Answer 1

Explicação passo-a-passo:

Temos que $P(x)=x^{3} -mx^{2} +x+2m$ e $P(2)=4$:

$P(2)=4\\\\2^{3} -m.2^{2} +2+2m=4\\\\8-4m+2+2m=4\\\\-2m+10=4\\\\-2m=4-10\\\\-2m=-6\\\\m=\frac{-6}{-2}\\ \\m=3$