I've been trying to work out a bunch of problems that have to do with finding irreducible polynomials, and this one really seemed to stump me...(adsbygoogle = window.adsbygoogle || []).push({});

What is the probability that a random monic polynomial over [tex] F_3 [/tex] of degree exactly 10 factors into a product of polynomials of degree less than or equal to 2? What is the probability that a random monic polynomial of degree at most 10 factors into such a product?

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# Irreducible Polynomials

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