Correct option is C
Polynomial: x³ - 6x² + 11x - 6
We need to find its factors.
Use Rational Root Theorem
Try simple values like x = 1:
1³ - 6(1)² + 11(1) - 6 = 1 - 6 + 11 - 6 = 0
So, x = 1 is a root => (x - 1) is a factor
Divide the polynomial by (x - 1)
Use long division or synthetic division:
x³ - 6x² + 11x - 6 ÷ (x - 1) = x² - 5x + 6
Now factor x² - 5x + 6:
= (x - 2)(x - 3)
Final Factorization:
x³ - 6x² + 11x - 6 = (x - 1)(x - 2)(x - 3)
Correct Answer is (x - 1)(x - 2)(x - 3)