- #1
T-O7
- 55
- 0
Hi,
I need to figure out whether or not the polynomial
[tex]x^6-2x^3-1[/tex]
is irreducible (over Q).
I don't think Eisenstein works in this case, and performing modulo 2 on this i get [tex]x^6-1[/tex]
which is reducible over F2.
Any ideas? Incidently, if i let y=x^3, then i get
[tex]y^2-2y -1[/tex]
which is irreducible over Q...but I'm not sure if that means anything about the original polynomial.
I need to figure out whether or not the polynomial
[tex]x^6-2x^3-1[/tex]
is irreducible (over Q).
I don't think Eisenstein works in this case, and performing modulo 2 on this i get [tex]x^6-1[/tex]
which is reducible over F2.
Any ideas? Incidently, if i let y=x^3, then i get
[tex]y^2-2y -1[/tex]
which is irreducible over Q...but I'm not sure if that means anything about the original polynomial.