Question: What is the value of k if the polynomial x^2 + kx + 9 has roots 3 and -3?

Options:

1. 0
2. 6
3. 9
4. 3

Correct Answer: 6

Solution:

Using Vieta\'s formulas, the sum of the roots (3 + (-3)) = -k, so k = 0. The product of the roots (3 * -3) = 9, which is consistent. Thus, k = 0.