# Problematic polynomial

Algebra Level 5

$\large f\left( x \right) =4{ x }^{ 6 }+3{ x }^{ 4 }+2{ x }^{ 3 }+7$

If $$f(x)$$ is polynomial having roots $${ r }_{ i }$$ for $$i$$ equal to $$1$$ to $$6$$.Then find the value of $$\displaystyle \sum _{ k=1 }^{ 6 }{ { { \left( \frac { \prod { { r }_{ i } } }{ { r }_{ k } } \right) }^{ 4 } } }$$. Give your answer to 3 decimal places.

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