More Division of Polynomials

We continued practicing long division and synthetic division today. We will begin looking at complex numbers tomorrow!

Coming up:
-Complex numbers tomorrow
- HW: pg. 159 #'s 8, 12, 16, 19, 20

Posting for Points:
How many homework problems do you have tonight?

Long Division and Synthetic Division

Today we talked about the uses of Long Division and Synthetic Division and the process for each. Remember that we use these methods to find the roots of any polynomial beyond a quadratic! We will carry this process into our discussin of complex (imaginary) numbers at the end of the week.

Coming up:
- Homework is from section 2.3

Posting for Points:
How many roots do you expect to find from a quartic equation?

Test Tomorrow

You will have a test tomorrow on Quadratic Modeling. The test will include all topics that we discussed in class. Do not forget the extra problems that I recommended to you. Study hard!!!


Coming up:
-Test Tomorrow!!!!

Posting for Points:
Does Wile E Coyote ever catch the Roadrunner?

Quadratic Review

Today we continued reviewing quadratics. You should have completed the Wile E Coyote problem in class or for homework.

Coming up:
- Test Friday!!

Posting for Points:
Free posting point tonight!

Polynomials and Quadratic Review

Today we talked about Polynomials and their graphs. Thus far you only know how to solve a polynomial if it can be manipulated to a quadratic. We will not look at other methods for finding these roots until after our test Friday.

The test this Friday will include only our Quadratic information (Solving for "a", using matrices, word problems, and finding the roots). We will review tomorrow and Thursday.

Have a great week!

Coming up:
- Test Friday!!!!!
- Tomorrow we will review

Posting for Points:
How was your class trip?

Friday and this week

On Friday you guys became engineers for the day. You had to create a scale drawing of your quadratic creation, and then find the equation representing your model. There were some very creative creations and everyone found their equivalent "a" values using both methods of solving.

This week there will be no posts due to class trips. Everyone have a safe and fun time!!

Have a great time on class trips!

Coming up:
- We will look at more polynomials when we get back.
- Your grades are up so be sure to check those if you have not seen them already

Posting for Points:
Free posting points all week!

Matrices

The St. Louis Arch equation has been found. First we found the equation using our original method discussed in class yesterday (using the vertex to find the standard equation, and then solving for "a"). Then we introduced using Matrices to solve a quadratic equation. This was a brief introduction to Matrices, as we will spend an entire chapter on them next semester, but it is important that you see how useful they can be for solving Systems of equations and Quadratics.

If you were not in class you should visit the website on the right to see the steps in solving a Matrix. You will also need to print the handouts below and complete them before tomorrow.



Classwork Handout

We also analyzed these two equations (one from each method), and discussed the importance of "a" in the equation, and why the vertex is almost irrelevant! It all depends on exactly how you set up the graph, but you will always have the same parabola, as long as your "a" is the same. The other numbers just give you the transformations!!!

Have a great time at the Fall Festival!!!

Coming up:
- If you were not in class you should complete this worksheet (just numbers 1-6)
- Tomorrow we will use these same techniques to find another famous arch!!

Posting for Points:
Can you think of another famous arch? (Think fast food)