Question

Show that x-m is a factor x^a-m^a for any positive integer a

Answer 1

@terenzreignz

Answer 2

hmm.. Factor theorem...

Answer 3

yup. :3

Answer 4

Well then, let
\[\Large f(x) = x^a - m^a\]

Answer 5

will i just substitute m to x? and i get 0 right? is that the final answeR?

Answer 6

Yup :)
You just substitute m for x. and obviously, you get 0, which, by the factor theorem, is enough to conclude that x-m is a factor of \(\large x^a - m^a\)

Answer 7

oh. okaaay thanks. :333