Question

30. Obtain a quadratic polynomial for which the sum and the product of the zero are -3 and 2 respectively.​

Answer 1

Answer:

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

2

−3x+2

Answer 2

$Sum \: of \: Zeros = \: \alpha + \beta$

$Product \: of \: Zeroes = \alpha \beta = 2$

$= {x}^{2} - (Sum \: of \: Zeros )x + Product \: of \: Zeroes$

$= {x}^{2} - ( - 3x) + 2$

$= {x}^{2} + 3x + 2$