Question: Which of the following is a root of the polynomial x^3 - 6x^2 + 11x - 6?

Options:

1. 1
2. 2
3. 3
4. 4

Correct Answer: 3

Solution:

Using the Rational Root Theorem, we can test x = 1, 2, and 3. Testing x = 3 gives 3^3 - 6(3^2) + 11(3) - 6 = 0, so x = 3 is a root.