Respuesta :

Answer:

x = - [tex]\frac{1}{2}[/tex], 2, 3

Step-by-step explanation:

2x³ - 9x² + 7x + 6 = 0

Factor using the rational roots test.

(2x + 1) (x² - 5x + 6) = 0

(2x + 1) (x - 3) (x - 2) = 0

2x + 1 = 0

x = - [tex]\frac{1}{2}[/tex]

x - 3 = 0

x = 3

x - 2 = 0

x = 2

So, x = - [tex]\frac{1}{2}[/tex], 2, 3