Question

A quadratic polynomial whose zeros are `3/5` and `(-1)/2`, is ______.

Options

• 10x² + x + 3

• 10x² + x – 3

• 10x² – x + 3

• 10x² – x – 3

Answer 1

A quadratic polynomial whose zeros are `3/5` and `(-1)/2`, is 10x² – x – 3.

Explanation:

`α + β = (3/5 - 1/2)`

= `1/10`

`αβ = 3/5 xx ((-1)/2)`

= `(-3)/10`

Required polynomial is `x^2 - 1/10x - 3/10`, i.e., 10x² – x – 3.