Determining whether Newton-Raphon's method will converge linearly or quadraticaly

Question

So lets say you have the following two polynomials:

$$f_1(x)=(x-1)(x-2)^2$$

and

$$f_2(x)=(x-1)^2(x-2)$$

And we want know whether Newton-Raphon's method will converge quadraticly or linearly for finding the root $x=2$. How would I go by doing this?