# Yearly polynomial

**Algebra**Level 4

Consider the following polynomial:

\[f(x)=\sum_{i=0}^{2015} a_ix^{2i}\]

The sequence \(\{a_i\}_{i=0}^{i=2015}\) is a sequence of arbitrary constants for \(f(x)\).

Find the sum of all \(\textbf{real}\) roots of the given polynomial.

\(\textbf{Warning:}\) You cannot just use Vieta to conclude your answer since we are asked for sum of \(\textbf{real}\) roots.