Question

A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is ______.

Options

• x² + 2x + 1

• x² – 2x – 1

• x² + 2x – 1

• x² – 2x + 1

Answer 1

A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is x² – 2x – 1.

Explanation:

Given, that

Sum of zeroes = 2

Product of zeroes = – 1

Quadratic polynomial is given

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

`\implies` x² – (2) x + (–1)

`\implies` x² – 2x – 1