$$P(x) = a_n x^n + a_{n-1}x^{n-1} + \cdots + a_1 x + a_0 = 0$$ is a polynomial equation, $$a_0, a_1, \ldots, a_n$$ are integers. If $$\alpha$$ is an integer and $$P(\alpha) = 0$$ then

A

$$\alpha$$ divides $$a_0$$

B

$$a_0 = k\alpha$$, $$k$$ is an integer

C

$$a_0$$ divides $$\alpha$$

D

$$\alpha$$ divides $$a_n$$