Sunday, September 29, 2013

SV #1: Unit F Concept 10- Finding all real and imaginary zeroes of a polynomial

In this student video, I was given a polynomails and I was suppose to find the complete factorization and all the zeroes. This problem is about getting a given polynomaial of 4th or 5th degree and finding all the zeroes. In this probelm we had to deal with real and complez First I had to find all the p's and q's. Then I did p/q to find the possible real/rational zeroes. After that I used Descartes Rule of Sign with f(x) and f(-x)to find out how many possible (+) real zeroes there was and how many possible (-) real zeroes there was. Then I used synthetic division to get my polynomail into a quadratic. Lastly I used the quadratic formaula to get the reamainig zeroes. The trickest part of this problem were the complex numbers. Using the quadratic can be hard if you mess up. If you mess up once, it can ruin your whole answer. With the complex numbers, you have to remember to simplify your answer all the way or it will be counted wrong. Other than that, Unit F Concept 10 is easy if you remember all the steps.

Monday, September 16, 2013

SP #2: Unit E Concept 7: Graphing polynomials and identifying all key parts

This student problem I made my own example of a polynomail that I graphed.I included the x-int which were (-2,0), (5,0) and (-3,0). I also included the y-int which was (0,-60). The zeroes were -2M2 (bounce), 5M1(through), and -3M1(through). The steps I needed to do to complete my problem was first make up my own factored equation. After I did that, I was able to get the whole eqaution by factoring them together. Then I was able to find the end behavior, the x-int with multiplicities, the y-int, and was able to graph it. Even though it was a huge y-int i made the y-axis going by tens and the x-axis by ones.
The trickest part of this problem is making sure you only cross the x-axis at the gates. If you do not graph it correctly you do not get it right. You can only go through the x-axis at the gates and makes sure it is with the right multplicity (through, bounce, and curve). Other than the graphing part everything else is pretty easy.

Saturday, September 7, 2013

SP #1: Unit E Concept 1- Graphing a quadratic and identifying all key parts

In this studnet problem I made an example of my own quadratic in stand form turining it into parent graph form. I completed the sqaure to accomplish this so I can graph it easier. After I put the quadratic in parent graph form, I was able to find the vertex by getting the oppisite number in parenthesis and the numbr outside. I was alos able to find the y-intercept by plugging in zero into the standard form eqaution. Then i foind the axis of symmentry. Lastly I was able to solve for the x-intercepts by getting x by itself. The trickest part of this problem was completing the sqaure. When I try to complete the sqaure I sometimes forget the steps but other than that it was pretty simple. Solving was kind of tricky too but not that much.