From the rational root theorem, actor out x-1 from x³ - 6x² + 11x -6 = 0:
(x-1) (x²-5x+6)
Factor further (x²-5x+6): (x - 3) (x-2)
The factors of the polynomial:
(x-1) (x-3) (x-2) = 0
x - 1 = 0 x - 3 = 0 x - 2 = 0
x = 1 x = 3 x = 2
The roots are: 1, 2, 3