All factors of x cubed minus 6x squared plus 11x minus 6

Step-by-step explanation:

x³-6x²+11x-6

put x=1

1³-6×1²+11×1-6=1-6=11-6=0

by synthetic division

1| 1 -6  11   -6

|     1  -5    6

|

| 1  -5  6 |0

x²-5x+6=0

x²-2x-3x+6=0

x(x-2)-3(x-2)=0

(x-2)(x-3)=0

x=1

x-1=0

so x³-6x²+11x-6=(x-1)(x-2)(x-3)

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative