1. What must be the value of m so that x+y is a factor of x^m - y^m?
2. Show that x-t is a factor of x^n - t^n for any positive integer n.
3. Show that x+t is a factor of x^n + t^n for any positive odd integer n.
I don't know how to do no.1 using this theorem, although I do know the answer. And are there any special things to note for nos. 2 and 3, or do I simply show that if P(x) is the polynomial and x-t is a factor, then P(t) = 0?
Thanks!
2007-08-21
01:51:55
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3 answers
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asked by
nandemonai
2
in
Mathematics