Factor

3x^3-10x^2+9x-2

It's not immediately obvious that this will factor....however......if we add the coefficients and get "0"  as the result, then "1"  is a root.......so, using synthetic division, we have :

1    [ 3    -10      9     -2  ]

                 3     -7      2

       --------------------------

        3      -7     2       0

And the remaining polynomial is :

3x^2 - 7x + 2  ......   which factors as   (3x - 1)(x - 2)

So.....the complete factorization is :   (x -1)(3x -1)(x -2)

Factor: 3x^3-10x^2+9x-2

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