If - - Y are the zeros of the polynomial fx-a x3-b x2-c x-d- then 1 -1 -1 p-a -bdb cdc - cdd - ca

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Formation of a Quadratic Equation From It's Roots

If α, β, Y ar...

Question

If α, β, γ are the zeros of the polynomial f(x) = ax³ + bx² + cx + d, then $\frac{1}{α} + \frac{1}{β} + \frac{1}{γ} =$

(a) $- \frac{b}{d}$
(b) $\frac{c}{d}$
(c) $- \frac{c}{d}$
(d) $- \frac{c}{a}$

Open in App

Solution

Suggest Corrections

Similar questions

If $α, β$ and $γ$ are the zeros of the polynomial f(x)= $a x^{3} + b x^{2} + c x + d$ , then $\frac{1}{α} + \frac{1}{β} + \frac{1}{γ}$ is:

If $α, β, γ$ are the zeroes of the cubic polynomial a $x^{3}$ +b $x^{2}$ +cx+d = 0, then $α + β + γ$ equal to:

α, β, γ

a x^{3} + b x^{2} + c x + d

α β γ =

If $α, β$ and $γ$ are the zeroes of the polynomial $f (x) = a x^{3} + b x^{2} + c x + d$ , then $\frac{1}{α} + \frac{1}{β} + \frac{1}{γ}$ is _____.

Join BYJU'S Learning Program