$P(x)$ is a polynomial with leading coefficient $1$ and degree 2009 such that $P(0)=2008,~P(1)=2007,\cdots,P(2008)=0$
Let $P(x)$ be a polynolmial with degree $2009$ and leading coefficient unity such that $P(0)=2008,P(1)=2007,P(2)=2006,\ldots,P(2008)=0$,