# Irreducable ploynomial in Z5

• Aug 21st 2008, 06:23 PM
Niall101
Irreducable ploynomial in Z5
F= x^3 + 2x + 1 irreducable in Z5 (Z subscript 5)

i have tried EC looking at F(x+1) which doesnt work for me. Cant think of what else to try.

Help much appreciated
• Aug 21st 2008, 07:39 PM
ThePerfectHacker
Quote:

Originally Posted by Niall101
F= x^3 + 2x + 1 irreducable in Z5 (Z subscript 5)

i have tried EC looking at F(x+1) which doesnt work for me. Cant think of what else to try.

Help much appreciated

Just check if any element in $\mathbb{Z}_5$ solves the polynomial.