Question

If sum and product of zero's of a Quadratic polynomial are 1, 1 respectively, then its corresponding quadratic polynomial is

• A. \(x^2-x+1\)
• B. \(x^2+x+1\)
• C. \(x^2+x-2\)
• D. \(x^2-x+2\)

Answer 1

The Correct Option is A

To solve the problem, we need to form a quadratic polynomial given the sum and product of its zeroes.

1. General Form of Quadratic Polynomial:
The quadratic polynomial with sum of roots $S$ and product of roots $P$ is given by:

$ x^2 - Sx + P $

2. Given:
Sum of zeroes = 1, Product of zeroes = 1

3. Substituting Values:
$ x^2 - (1)x + 1 = x^2 - x + 1 $

Final Answer:
The corresponding quadratic polynomial is $ \mathbf{x^2 - x + 1} $.