Divide Using Synthetic Division ((3x^3-x^2+2x-4)dx)/( square root of x^2-3x+2)

$\frac{(3 x^{3} - x^{2} + 2 x - 4) d x}{\sqrt{x^{2} - 3 x + 2}}$

Synthetic division can only be used when dividing by a linear factor.

This problem cannot be solved using synthetic division