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

Zeros of a polynomial

If α, β, and ...

Question

If $α, β, a n d γ$ are the zeros of the cubic polynomial $12 x^{3} - x + 4$ , find the value of $\frac{1}{α} + \frac{1}{β} + \frac{1}{γ}$ .

\frac{1}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{4}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $\frac{1}{4}$

Suggest Corrections

Similar questions

α, β, γ

P (x) = x^{3} + 4 x + 2

\frac{1}{α + β} + \frac{1}{β + γ} + \frac{1}{γ + α}

α, β

γ

(α + β + γ) = 4, (α β + β γ + γ α) = 1

α β γ = - 6

α, β, γ

x^{3} + 3 x^{2} - x - 2

α + β + γ, α β + β γ + γ α

α β γ

α

β

γ

x^{3} + p x^{2} + q x^{2} + 2

α β + 1 = 0

2 p + q + 5

α, β, γ

P (x) = a x^{3} + b x^{2} + c x + d (a \neq 0)

\frac{1}{α} + \frac{1}{β} + \frac{1}{γ} =

Join BYJU'S Learning Program