Question

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

Explanation:

For a monic quadratic with zeros α and β.

f(x) = x² – (α + β)x + (αβ). 

Here, α + β = 3 and αβ = –10.

So, f(x) = x² – 3x – 10.