human
can you reword the answer "Let p(x) be irreducible of degree m in Z p[x]. Let K be the ﬁnite extension of Z pobtained by adjoining all the zeros of p(x) in Z p . Then K is a ﬁnite ﬁeld of order p n for some positive integer n, and consists precisely of all zeros of x p n − x in Z p . Now p(x) factors into linear factors in K[x], and these linear factors are among the linear factors of x p n − x in K[x]. Thus p(x) is a divisor of x p n − x." to this question "Show that every irreducible polynomial in Z p[x] is a divisor of x pn− x for some n." a little bit by changing the wording and the variables used in there and then return it in latex format?
gpt
--- Reasoning ---
1. Is the question multiple-choice question?
No
2. Is it implied multiple-choice question?
No
3. If two experts were independently asked the question, will the final answer be exactly the same?
No

--- Answer ---
open