Let $V$ be vector space of polynomials of degree $\leq n$ . And $ T : V \rightarrow \mathbb R ^{m}$ be defined as $T (P (x)) = (P (1) , P (2) ,..., P (m) )$

I have to determine nullity of $T$ .

Here for nullity I see I have to make two separate cases when $n> m$ and $n<m$ .Also for nullity I set $P (1) =0 , P (2) =0\cdots$ but i am not getting clear along these lines .Please help me to get through this .Thanks