Monday, January 30, 2012

Section 4.2, Due Wednesday, February 1

The section for today was 4.2: Divisibility in F[x].

I thought that the most difficult part of this section was the proof of Theorem 4.5 which claims a unique gcd of any two functions f(x), g(x).

I thought that it was very interesting and convenient that the properties of divisibilty practically transfer straight over to Polynomials. Most of the proofs are exactly the same, except that for the monic condition on the gcd.

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