Question 21
Let $p(x)$ be a polynomial such that
$$p(x)=(x-2)^{2012}(x+2012)+(x-2)^{2011}(x+2011)+\cdots+(x-2)(x+1).$$
The sum of the coefficients of $p(x)$ is
$$p(x)=(x-2)^{2012}(x+2012)+(x-2)^{2011}(x+2011)+\cdots+(x-2)(x+1).$$
The sum of the coefficients of $p(x)$ is