(1):(adsbygoogle = window.adsbygoogle || []).push({});

Find all irreducible polynomials of the form [itex]x^2 + ax +b [/itex], where a,b belong to the field [itex]\mathbb{F}_3[/itex] with 3 elements.

Show explicitly that [itex]\mathbb{F}_3(x)/(x^2 + x + 2)[/itex] is a field by computing its multiplicative monoid.

Identify [[itex]\mathbb{F}_3(x)/(x^2 + x + 2)[/itex]]* as an abstract group.

any suggestions please?

**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!

# Homework Help: Irreducible polynomials

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