## UnkleRhaukus 2 years ago 3 | (x^3-6x^2+11x-6)

1. whpalmer4

Surely you aren't asking for help doing synthetic division, are you?

2. UnkleRhaukus

prove the above 3 divides that polynomial (i know the answer already )

3. UnkleRhaukus

(or disprove)

4. ganeshie8

$$(x^3-6x^2+11x-6) \equiv ( x^3+ 11x) \equiv (x^3-x) \mod 3$$

5. ganeshie8

$$(x)(x^2-1) \equiv x(x+1)(x-1) \equiv 0 \mod 3$$ assuming x is an integer, product of 3 consecutive integers are divisible by 3

6. whpalmer4

and it factors to $$(x-1)(x-2)(x-3)$$...