Question

The sum and product of the zeroes of a quadratic polynomial are 3 and –10 respectively. The quadratic polynomial is ______.

Options

• x² – 3x + 10

• x² + 3x – 10

• x² – 3x – 10

• x² + 3x + 10

Answer 1

The sum and product of the zeroes of a quadratic polynomial are 3 and –10 respectively. The quadratic polynomial is x² – 3x – 10.

Explanation:

Sum of zeroes = 3 and product of zeroes = –10

Quadratic polynomial = x² – (sum of zeroes)x + product of zeroes

∴ Quadratic polynomial is x² – 3x – 10.