Introduction
In Algebra 1, we discussed the basics of polynomials. This WebQuest will help you review the basics of polynomials such as:
- Adding
- Subtracting
- Multiplying
- Factoring
Task
You will go to three different websites and read short excerpts on adding, subtracting, multiplying, and factoring polynomials. You will use this information to answer questions about specific parts of each of the mentioned topics. Your answers should contain full sentences and use good math vocabulary.
Process
Adding and Subtracting: Go to the website listed below to learn about adding and subtracting polynomials. Then, answer the questions.
Website - https://www.mathsisfun.com/algebra/polynomials-adding-subtracting.html
- When adding and subtracting polynomials, do the coefficients, variables, or exponents determine what like-terms are?
- True or False, when adding and subtracting polynomials, you can only do one at a time. For instance, you cannot add three different polynomials together.
Multiplying: There are two main methods to multiply polynomials. The distributive property, and the box method. The link below is a video showcasing how they are related. Watch the video, and answer questions 3 & 4.
Video -
- Compare and contrast the box method and distributive property. Which one makes more sense to you? Do you thing one is better than the other?
- In the video, he combines like-terms to simplify the polynomials he multiplies. When he uses the box method, do you notice a pattern about the like terms?
Factoring: We have used factoring quite a bit between Algebra 1 and Algebra 2. That being said, I am not expecting you to fully read this article. Rather, I would like you to skim it to answer the questions below. Even though you have done a lot of factoring in my class, there are some mistakes I still see that this article will hopefully help clear up. As in the last two parts of the quest, answer the questions that follow.
- In Example 3 of the article, the author says that special care has to be taken when factoring polynomials with negative signs. Explain in your own words why this is.
- The author also mentions that grouping can be used to factor trinomials. In your own words, how is this done?