If α, β, γ are the zeros of the polynomial f(x) = ax3 + bx2 + cx + d, then =
Given,
f(x) = ax3 + bx2 + cx + d,
As we know,
α + β + y = b/a
αβ + βy + yα = – c/a …………….(i)
αβy = d/a ……………….. (ii)
Now,
Divide (i) by (ii)
We get
1/y + 1/α + 1/β = – c/d