Question 11
Let $P(x)$ be a polynomial with degree $2008$ and leading coefficient $1$ such that
$$
P(0)=2007,\ P(1)=2006,\ P(2)=2005,\ \ldots,\ P(2007)=0.
$$
Determine the value of $P(2008)$. You may use factorials in your answer.
$$
P(0)=2007,\ P(1)=2006,\ P(2)=2005,\ \ldots,\ P(2007)=0.
$$
Determine the value of $P(2008)$. You may use factorials in your answer.