# 400 followers problem

Algebra Level 5

$\large f\left( x \right) =7{ x }^{ 2017 }+{ x }^{ 2 }+x+5$

Let $$f\left( x \right)$$ be a polynomial having roots $${ x }_{ i }$$ for $$i=1$$ to $$2017$$.Then find the value of

$\large \frac { 1 }{ { 10 }^{ 6 } } \left( \sum _{ n=1 }^{ 2017 }{ \prod _{ i=1 }^{ 2017 }{ \left( { x }_{ i }+n \right) } } -\sum _{ k=1 }^{ 2017 }{ { k }^{ 2017 } } \right)$

Details and Assumptions:

• You can use calculator for lengthy calculations.

• Write answer till 2 decimal places

##### This problem is original,
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