Question

Encontre as raízes dos polinômios de grau 3,(por fator comum), p(x)=2x^3-7x^2-15x

Answer 1

Vamos lá

Encontre as raízes dos polinômios de grau 3,(por fator comum),

p(x) = 2x^3 - 7x^2 - 15x

p(x) = x*(2x^2 - 7x - 15)

x1 = 0

2x^2 - 7x - 15

delta

d^2 = 49 - 4*2*(-15) = 49 + 120 = 169

d = 13

x2 = (7 + 13)/4 = 5

x3 = (7 - 13)/4 = -6/4 = -3/2

as raízes sao x1 = 0, x2 = 5, x3 = -3/2