Question

The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is –2 is :

(a) x
2 + 3x – 2
(b) x
2 – 2x + 3
(c) x
2 – 3x + 2
(d) x
2 – 3x – 2​

Answer 1

Let α and β are the roots of given Quadratic polynomial.

Given:

α+β=3,αβ=-2

Quadratic polynomial:

x^2 - (α+β)x+(αβ)

∴ Polynomial is x^3

−3x- 2

Option D is correct.