Tuesday, February 1, 2011

4.2, due on Wednesday, February 2

1. This section seems pretty straight forward because it is all definitions and theorems we have seen before, just now they are applied to polynomials. The most difficult part of all of this is how all of them state that f(x) and g(x) need to be in field F. This might be a dumb question and should have probably been cleared up a long time ago, but I do not understand the need or significance or purpose behind the field F and what it means and why it matters. I am not seeing the connection at all.

2. I think it is so interesting how all these definitions and theorems about the gcd and being relatively prime are being applied to polynomials. It is so cool! Also, it is cool how a divisor times any nonzero integer still divides the polynomial. I love unique properties like that!

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