12.2.61 Number Theory
Condition: for the polynomial \ [p (x) = \ left (x^{3}+x^{2} -1 \ right)^{2008} \ left (x^{2} -x-1 \ right)^{2009} \] find the sum of the even and complyed steppe \ (compatible steppe x \).
A Huge Number of Interesting Olympiad Problems in Number Theory, and Its Various Section.