Question

calcule o valor de m sabendo que p (x)= x³ + 4x² + MX - 3 possui uma raiz igual a -2

Answer 1

$p(x)=x^3+4x^2+mx-3\\\\P(-2)=0\\\\(-2)^3+4\cdot(-2)^2+m\cdot(-2)-3=0\\-8+4\cdot4-2m-3=0\\-8+16-2m-3=0\\-2m+5=0\\-2m=-5\\\\\\\boex{m= \dfrac{5}{2}}$