8. Let the polynomial be
$$
\begin{aligned}
P(x)= & x^{15}-2008 x^{14}+2008 x^{13}-2008 x^{12}+ \\
& 2008 x^{11}-\cdots+2008 x^{3}-2008 x^{2}+2008 x .
\end{aligned}
$$

Then \( P(2007) = \)
8. 2007 .
$$
\begin{array}{c}
P(x)=(x-2007)\left(x^{14}-x^{13}+x^{12}- \\
x^{11}+\cdots+x^{2}-x\right)+x .
\end{array}
$$

Therefore, $P(2007)=2007$.