ISL 2005 N7

Let $P(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots+a_{0}$ , where $a_{0},\ldots,a_{n}$ are integers, $a_{n}>0$ , $n\geq 2$ . Prove that there exists a positive integer $m$ such that $P(m!)$ is a composite number.