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Polynomials

Algebra Level 5

If the roots of the polynomial \(2x^{3}-4x^{2}+7x-5=0\) are \(a,b,c\) then find the value of \[\sum_{cyc}^{a,b,c}\frac{1}{(b-4)(a-2)+2a-4}\]

Source: Tallentex.

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by Shivam Jadhav

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