# 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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