Register to reply

Finding root of a polynomial

by kathrynag
Tags: polynomial, root
Share this thread:
Jan9-11, 06:34 PM
P: 603
Let p be a prime number. Find all roots of x^(p-1) in Z_p

I have this definition.
Let f(x) be in F[x]. An element c in F is said to be a root of multiplicity m>=1 of f(x) if (x-c)^m|f(x), but (x-c)^(m+1) does not divide f(x).

I'm not sure if I use this idea somehow or not.
Phys.Org News Partner Science news on
FIXD tells car drivers via smartphone what is wrong
Team pioneers strategy for creating new materials
Team defines new biodiversity metric
Jan9-11, 09:58 PM
HW Helper
P: 1,347
I think Fermat's Little Theorem will be useful here.

Register to reply

Related Discussions
A is a root of order of polynomial p iff p(a)=p'(a)=...=[p^(k-1)](a)=0 Calculus & Beyond Homework 2
Need help with finding Root of an Equation, given another root. Analysis Question. Precalculus Mathematics Homework 10
Finding a monic polynomial with 2^.5 + 3^.5 as a root Calculus & Beyond Homework 6
Polynomial root Calculus 0
Root of polynomial functions General Math 1