Wednesday, December 10, 2008

Remainder Theorem (Part 1)

We discussed how to confirm the inverse of a function by evaluating the composition of the two functions. That is to say that for any two functions f(x) and g(x)

if functions f and g are inverses.

The question we did in class was rather heavy on the fractions, but evaluation of the composition of the two functions is a way to prove that they are inverses.

As for the Remainder theorem, we reviewed the division of polynomials, factoring quadratic expressions, and solving quadratic equations for x (when y=0). Then we looked at how those are related to the zeroes of a function. For tomorrow I'd like you to read Lesson #3 over and I begin to show you the 'short way' of finding factors of any polynomial!

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Thanks.