Question 739618
{{{(3x^3-34x^2+113x-114)/(x-3)}}}
use synthetic division

...3..|....3....-34......113.....-114......
....................9........-75.......114
........... 3....-25.......38........0
(x-3)(3x^2-25x+38)=(x-3)(x-2)(3x-19)