Choose a polynomial having 5 -1-2 as zeroes-

The correct option is C 2x^2 11x+5Let α = 5, β = 1/2 The quadratic equation from zeroes is given by x^2 (α+β)x+αβ = x^2 (5 + 1/2)x + 5 ×1/2 x^2 (10+1/2)x ...

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

Byju's Answer

Standard X

Mathematics

Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

Choose a poly...

Question

Choose a polynomial having $5 & \frac{1}{2}$ as zeroes.

2 x^{2} - \frac{11}{2} x + 5

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

2 x^{2} - 11 x + 2

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

2 x^{2} - 11 x + 5

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

2 x^{2} - 11 x + \frac{5}{2}

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

Open in App

Solution

The correct option is C $2 x^{2} - 11 x + 5$
Let $α = 5, β = \frac{1}{2}$

The quadratic equation from zeroes is given by
$x^{2} - (α + β) x + α β = x^{2} - (5 + \frac{1}{2}) x + 5 \times \frac{1}{2}$
$x^{2} - (\frac{10 + 1}{2}) x + \frac{5}{2} = \frac{2 x^{2} - 11 x + 5}{2}$
So, the polynomial is $2 x^{2} - 11 x + 5$

Suggest Corrections

Similar questions

Q. The number of polynomials having zeroes as

2

and

5

is:

Q. Question 4
The number of polynomials having zeroes as –2 and 5 is
(A) 1
(B) 2
(C) 3
(D) more than 3

How many polynomials can have its zeroes as -2 and 5?

If α&β are zeros of the polynomial f(x)=x²+px+q,then find a polynomial having 1/α & 1/β as its zeros.

Q. The number of polynomials having zeros as

- 2

and

5

Join BYJU'S Learning Program

Choose a polynomial having 5 & 12 as zeroes.

The correct option is C 2x2−11x+5Let α=5, β=12 The quadratic equation from zeroes is given by x2−(α+β)x+αβ=x2−(5+12)x+5×12 x2−(10+12)x+52=2x2−11x+52 So, the polynomial is 2x2−11x+5

Choose a polynomial having $5 & \frac{1}{2}$ as zeroes.