Polynomial Remainder
Algebra
Level
5
Consider the function \( f(x)=x^{2015}+2015 \). If \( f(x) \) is divided by \( x^{8}-x^{6}+x^{4}-x^{2}+1 \), it leaves a remainder \( g(x) \). If \( f(x) \) is divided by \( (x+1)^{3} \), it has a remainder \( h(x)\).
Find the value of \( \frac{h(1)+1}{1-g(-1)}\).
by
uzumaki nagato tenshou...