An Intriguing Polynomial Problem!

Algebra Level 5

\[\large{P(x) = 5x^{2015} + x^2 + x + 1}\]

Let \(P(x)\) be a polynomial as defined above with the roots of \(P(x)\) being \(x_1, x_2, x_3, \ldots, x_{2015}\). Find the value of:

\[\large{\left(\prod_{i=1}^{2015} (1+x_i)\right ) \left( \sum_{i=1}^{2015} \frac{1}{1-x_i} \right )}\]

If you want to solve it's sister problems, try these:
400 Followers Problem
150 Friends Problem

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