Question

The quadratic polynomial, the sum of whose zeroes is –5 and their product is 6, is ______.

विकल्प

• x² + 5x + 6

• x² – 5x + 6

• x² – 5x – 6

• –x² + 5x + 6

Answer 1

The quadratic polynomial, the sum of whose zeroes is –5 and their product is 6, is x² + 5x + 6.

Explanation:

Let α and β be the zeroes of the quadratic polynomial, then 

α + β = –5

And αβ = 6

So, required polynomial is

x² – (α + β)x + αβ

= x² – (–5)x + 6

= x² + 5x + 6