# 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

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