Question

The quadratic polynomial whose zeroes are α, β is

• A. \(x^2 - (α +β)x+αβ\)
• B. \(x^2 - (α +β)x\)
• C. \(x^2 -α-βx+\alpha\beta^2\)
• D. None of these

Answer 1

The Correct Option is A

Correct answer: \(x^2 - (α + β)x + αβ\)

Explanation:
The general form of a quadratic polynomial whose zeroes are α and β is:

\(x^2 - (α + β)x + αβ\) 

Here,
- \(α + β\) is the sum of the zeroes
- \(αβ\) is the product of the zeroes

Hence, the correct form is: \(x^2 - (α + β)x + αβ\)