Answer:
Step-by-step explanation:
Let's start with the easiest way to answer something like this. Graph it.
The graph was put in as y = x^3 - 6x^2 + 11x - 6
The roots need to multiply to - 6 if the equation has integer roots (which it does). The y intercept is (-6,0).
Oh, I just saw that you can't use technology. Well you might use it to get the answer.
(x - 3) || x^3 - 6x^2 + 11x - 6 || x^2 - 3x + 2
x^3 - 3x^2
-3 x^2 + 11x
-3 x^2 + 9x
2x - 6
2x - 6
Now x^2 - 3x + 2 factors
(x - 2)(x - 1)
So your three factors are (x - 3)(x - 2)(x - 1)
