If x = -1 and x = 2 are extreme points of $$f(x) = \alpha \log \mid x \mid + \beta x^2 + x$$ then

A

$$\alpha = -6, \beta = -\frac{1}{2}$$

B

$$\alpha = 2, \beta = -\frac{1}{2}$$

C

$$\alpha = 2, \beta = \frac{1}{2}$$

D

$$\alpha = -6, \beta = \frac{1}{2}$$