Polynomials

Algebra Level 5

If the roots of the polynomial 2x34x2+7x5=02x^{3}-4x^{2}+7x-5=0 are a,b,ca,b,c then find the value of cyca,b,c1(b4)(a2)+2a4\sum_{cyc}^{a,b,c}\frac{1}{(b-4)(a-2)+2a-4}


Source: Tallentex.
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