Prove that for any positive integer n a field f can have at most a finite number of elements of multiplicative order at most n

Let's assume multiplicative order is infinite. Then . In the field the solution of the polynomial can have at most distinct solutions. Hence for any we cannot have infinite roots. And thus the result follows.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

b. 2/3