  We prove a canonical polynomial Van der Waerden's Theorem. More precisely, we
show the following. Let $\{p_1(x),\ldots,p_k(x)\}$ be a set of polynomials such
that $p_i(x)\in \mathbb{Z}[x]$ and $p_i(0)=0$, for every $i\in \{1,\ldots,k\}$.
Then, in any colouring of $\mathbb{Z}$, there exist $a,d\in \mathbb{Z}$ such
that $\{a+p_1(d),\ldots,a+p_{k}(d)\}$ forms either a monochromatic or a rainbow
set.
