Announcements
WebWork schedule:
- Polynomials-Factor Trinomials AC Method – due Tues Feb 27 (Sec 1.2.7)
- Polynomials-Divide Polynomials – due Thurs Feb 29 (Sec 1.2.5)
- Rational Expressions-Simplifying – due Thurs Feb 29 (Sec 1.3.2)
- Expressions-Multiplying and Dividing – due Mon March 4 (also Sec 1.3.2)
We will have a quiz this Wed (Feb 28), which will cover factoring polynomials, including the ac-method (i.e., the material we covered last week).
![](https://openlab.citytech.cuny.edu/mat1275-ganguli-spring2024/files/2024/02/20240226_140421-1-1024x768.jpg)
Topics
We continued with simplifying rational expressions–applying the strategy of factoring the polynomials in the numerator and denominator and then cancelling common factors:
![](https://openlab.citytech.cuny.edu/mat1275-ganguli-spring2024/files/2024/02/20240226_130127-1024x768.jpg)
For the example above, we introduced one of the special products–factoring a “difference of two squares”:
![](https://openlab.citytech.cuny.edu/mat1275-ganguli-spring2024/files/2024/02/20240226_131911-1024x768.jpg)
We then moved on to multiplying and dividing rational expressions–for which we use the same strategy of factoring and cancelling common factors. We started with a quick review of multiplying and dividing rational numbers:
![](https://openlab.citytech.cuny.edu/mat1275-ganguli-spring2024/files/2024/02/20240226_133525-1024x768.jpg)
We went through an example from the textbook:
![](https://openlab.citytech.cuny.edu/mat1275-ganguli-spring2024/files/2024/02/20240226_135312-1024x768.jpg)
We also went through some examples from the WebWork:
![](https://openlab.citytech.cuny.edu/mat1275-ganguli-spring2024/files/2024/02/20240226_135348-1024x768.jpg)
For dividing, we use “keep-change-flip”:
![](https://openlab.citytech.cuny.edu/mat1275-ganguli-spring2024/files/2024/02/20240226_140021-1024x768.jpg)
As you can see, the key to all these exercises is being able to factor polynomials!
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