# 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.

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