Tuesday, September 29, 2009

Section 4.4 due 9/29

Is the difference between f(x) and F[x] that f(x) is the function of F[x], meaning that F[x] does nothing? When the corollaries are talking about a function having no roots, do they mean that they don't have real roots (but there exist complex roots)?

The most interesting part of the section was Theorem 4.14. At first I thought it meant you didn't have to do polynomial division--you just had to subtract f(a) from the polynomial--but then I realized that it just meant that it gives the remainder. Despite the disappointment, I always love how math works out perfectly.

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