monic polynomials have a coefficient "1" on the highest power term x^n.
This is not necessarily true for all irreducible polynomials.
I'm not quite sure what "F2" is, could you clarify your notation?
I am studying for an exam and was wondering if;
1.List all monic irreducible polynomials of degree 3 in Z2[X]
is the same as;
2.Find all irreducible polynomials of degree 3 with coefficients in F2
I know how to go about solving 1 and was wondering if it is equivalent to 2
Thanks
Finding the irreducible monic polynomials is not a problem.
they are x^3+x+1 and x^3+x^2+1 of degree 3 in Z2
I was just wondering if thats the answer for F2 (F2 is a finite field, dont know much else about that or what it means.) I know Z2 is the set of numbers {0,1}.