root of \(b,e,a,r\), poor bear!

Algebra Level 3

If \(b,e,a,r\) are roots of \(P(x)=x^4-2x^3-7x^2-2x+1=0\). Find \[\frac{1}{b}+\frac{1}{e}+\frac{1}{a}+\frac{1}{r}\]

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