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In my student video i will be teaching you how to find the possible rational, positive, negative, and all zeros of a polynomial, along with the complete factorization. I will explain how to use Descartes rule of signs to help you get your pq's and from that it will be easier to get your zeros. With your zeros you will be able to get the complete factorization. You will be doing step after step after step.
You will need to pay special attention when getting your factors from your zeros of the quadratic formula because you need to make sure it has an x or else it will not be a factor. Although you will be dealing with square roots you will still be able to find your factor your zeros with the steps i show you just make sure you are doing each step correctly and carefully. It is a long process but you will be able to do it:)
Monday, September 30, 2013
Tuesday, September 17, 2013
To do this problem you first must factor out the polynomial and find the end behavior. To find the x intercept you simply equal each factor to zero and solve. You must also remember to put the multiplicity of each zero. For finding the y intercept you replace all x's with zero and the number remaining will be your y intercept.
You must make sure to find the correct zeros after factoring in order to graph the precise graph. Another very important thing is knowing whether the graph bounces, goes thru, or curves, at each point. If the zero have a multiplicity of 1 then i will go thru, if 2 then it will bounce, and if 3 then it will curve at the point.
Thursday, September 12, 2013
Tuesday, September 10, 2013
When completing the square it it important to factor out the coefficient properly in order to get the right factor. It is also important to pay special attention when solving for b because you will be plugging it in for the left and right side of the equation and then having to get your parent graph in order to graph. You must pay close attention when solving for the completed square because if not then you will get the wrong x intercepts.