(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that

(x^p^n) - x = product (product c(x))

where the product is taken over irreducible polynomials c(x) in F[x] (order of F[x]=p).

(the inside product is taken over polynomials of degree d

and the outside product is taken for all d such that d divides n)

3. The attempt at a solution

First off I don't really understand the notation. Is this just one sum over 2 notations? Or is it 2 notations and 2 sums?

After that, I don't even know how to approach the question.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Product of polynomials

Can you offer guidance or do you also need help?

**Physics Forums | Science Articles, Homework Help, Discussion**