Factor the following:
3 x^3+4 x^2-13 x+6
The possible rational roots of 3 x^3+4 x^2-13 x+6 are x = ±1/3, x = ±2/3, x = ±1, x = ±2, x = ±3, x = ±6. Of these, x = 2/3, x = 1 and x = -3 are roots. This gives 3 x-2, x-1 and x+3 as all factors:
Answer: |(3 x-2) (x-1) (x+3)