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.
by
Shivam Jadhav