Let $\displaystyle V=R_n[x]$ and $\displaystyle \alpha_i(p)=p^i(0)$ be a functional over $\displaystyle V$( $\displaystyle p^i$ is the number i derivative of p)

Show that $\displaystyle \{\alpha_i\}_\forall\i$ is a basis of a dual space $\displaystyle V^*$

What I first should do is prove that $\displaystyle \alpha_i \forall i$ are linearly independent.

How should I do it?

Any ideas?