SOLUTION: Good evening, I am having difficulties factoring out this problem: x^3 - 6x^2 + 11x -6 = 0 When I factored it as (x-2)^3, I got x^2 -6x^2 + 12X - 8 but I cannot get it to t

Algebra ->  Equations -> SOLUTION: Good evening, I am having difficulties factoring out this problem: x^3 - 6x^2 + 11x -6 = 0 When I factored it as (x-2)^3, I got x^2 -6x^2 + 12X - 8 but I cannot get it to t      Log On


   

Question 513493: Good evening,
I am having difficulties factoring out this problem:
x^3 - 6x^2 + 11x -6 = 0
When I factored it as (x-2)^3, I got
x^2 -6x^2 + 12X - 8 but I cannot get it to the exact answer. Can you help me please solve this problem?
Thank you.
I.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(x^3 - 6x^2 + 5x) + (6x - 6) ___ [x(x^2 - 6x + 5)] + (6x - 6)

[x(x - 1)(x - 5)] + [6(x - 1)] ___ (x - 1)[x(x - 5) + 6] ___ (x - 1)(x^2 - 5x + 6)

(x - 1)(x - 2)(x - 3)