- #1
silvermane
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Homework Statement
Find all monic polynomials of degrees 2 and 3 in (Z/2Z)[x]. Determine which ones are irreducible, and write the others as products of irreducible factors.
The Attempt at a Solution
I know that factors of degree 1 correspond to roots in Z/2Z and that monic polynomials are polynomials where the top term coefficient is equal to 1. I think I'm not understanding what I'm supposed to do, or how to write them via modulus.
Any hints or tips are greatly appreciated! :)
Please no answers!