Question

A quadratic polynomial the sum and product of whose zeroes are – 3 and 2 respectively, is ______.

Options

• x² + 3x + 2

• x² – 3x + 2

• x² – 3x – 2

• x² + 3x – 2

Answer 1

A quadratic polynomial the sum and product of whose zeroes are – 3 and 2 respectively, is x² + 3x + 2.

Explanation:

Given that,

Sum of zeroes = – 3

Product of zeroes = 2

Quadratic Polynomial is given by:

x² – (Sum of zeroes)x + (Product of zeroes)

So, P(x): x² – (– 3) x + 2

Required Quadratic Polynomial is x² + 3x + 2.