If α, β, γ are the zeros of the polynomial f(x) = x3 – px2 + qx – r, then =

Given,


f(x) = x3 – px2 + qx – r


α, β and y are the Zeros,


α + β + y = – p


αβ + βy + yα = – q


αβy = – r


1/αβ + 1/βy + 1/yα = p/r

19