An Intriguing Polynomial Problem!

Algebra Level 5

P(x)=5x2015+x2+x+1\large{P(x) = 5x^{2015} + x^2 + x + 1}

Let P(x)P(x) be a polynomial as defined above with the roots of P(x)P(x) being x1,x2,x3,,x2015x_1, x_2, x_3, \ldots, x_{2015}. Find the value of:

(i=12015(1+xi))(i=1201511xi)\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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