Y by PikaPika999
Consider the polynomial
, where
is a prime number. Show that if
is an even number, then the polynomial
is divisible by
.
Mircea Becheanu



![\[-1+\prod_{k=0}^{n-1} P\left(X^{p^k}\right)\]](http://latex.artofproblemsolving.com/5/d/f/5df80f885e63852e4f53a6145dafd18d63dc3526.png)

Mircea Becheanu
This post has been edited 1 time. Last edited by Miquel-point, Apr 6, 2025, 6:17 PM