CameraIcon

SearchIcon

MyQuestionIcon

1

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

Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

If α ,β are...

Question

If $α, β$ are zeroes of the polynomial $2 x^{2} + 4 x + 1$ , then find the value of $\frac{α + β}{α β}$ .

Open in App

Solution

$α + β = - 2 α β = 1 / 2 S o, \frac{α + β}{α β} = \frac{- 2}{1 / 2} = - 4$

Suggest Corrections

thumbs-up

4

Similar questions

α, β

be the zeroes of the quadratic polynomial

2 x^{2} + 5 x + 1

, then the value of

α + β + α β

Q. If α and β are the zeroes of a polynomial 2x² + 7x + 5, write the value of α + β + αβ. [CBSE 2010]

α

β

are the zeroes of

x^{2} - 4 x + 1

, then find the value of

\frac{1}{α} + \frac{1}{β} - α β

α, β

are the zeroes of the polynomials

2 y^{2} + 7 y + 5

, then find the value of

α + β + α β .

α, β, γ

are the zeroes of polynomial

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

, then find the value of

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

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon