Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

How do we know if something is reducible/irreducible in $\mathbb{F}_3[x]$ in terms of polynomials?

share|improve this question
3  
Please try accept questions when they please you. As people tend to not answer questions from people with a low accepting rate. –  sxd Dec 2 '11 at 1:56
    
What does it mean for a nonzero nonunit element of an integral domain to be irreducible? –  user5137 Dec 2 '11 at 2:03
    
Check this. maths.anu.edu.au/~brent/pd/BCTCS09t4.pdf –  user2468 Dec 2 '11 at 2:15

1 Answer 1

up vote 0 down vote accepted

We could be particularly brute force about it, and see whether $f\in\mathbb{F}_3[x]$ is irreducible by simply checking every polynomial in $\mathbb{F}_3[x]$ of degree less than $\deg(f)$ to see if it is a factor of $f$.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.