Topics:
• More on inverse functions: The “Round-Trip” Theorem (Observation 7.9 on p. 92 in the textbook, and also see Example 7.10 which follows)
• Long Division of polynomials.
This is section 8.1 in the textbook, and the WeBWorK also contains useful explanations of the steps involved. Don’t forget DMSB!
In the future applications we will be mainly interested in the remainder – I have hinted why this is so; it has to do with factoring, for one thing. We never say that there is no remainder, we say that the remainder is 0 (if that is the case).
Vocabulary to know:
dividend
divisor
quotient
remainder
Homework:
• Make sure that you have activated your Piazza account! If you are not sure how to do this, email me!
• This would also be a good moment to review my course policies and WeBWorK policies.
• Do the WeBWorK assignments, due by Sunday midnight, but don’t wait to the last minute! I have reopened the assignment on iInverse Functions.
• Also do and check (per my Course Policies) the following problems from the textbook. You may put one of these on the board at or before the start of class (Just do it, don’t wait, but also don’t duplicate another student’s problem) as part of your 10 problems:
Exercise 7.4 p. 96
Exercise 8.4 p. 111, parts g and h
• Next time I will show you synthetic division, which is a quick way to do certain types of long division (like the ones we have done). I have a slideshow I will use, and you can see it here if you like:
MAT1375-LongDivisionSyntheticDivision-slideshow
Remember that if you get stuck on any of the problems or have a question about any of the material, you can post a question to the Piazza discussion board.
