To view my video, please click on the link HERE.
This concept covers finding the zeroes and factorization for a 4th or 5th degree polynomial. In the video, the problem is a fourth degree polynomial (f(x)= 28x^4+80x^3+93x^2+34x-7). Therefore, we have four zeroes. Two of which are real, and the other two are imaginary. The video explains each of the steps you need to take to find the zeroes of this polynomial.
In order to understand this concept, you should make sure to include each and every one of the steps. For example, you can not forget to use "Descartes Rule of Signs" or else you won't know how many positive and negative zeroes there are. Moreover, you need to double check your work as you go because if you make a mistake in the middle, it will affect the rest of the problem. If you need help, you can consult the video again!
Sunday, September 29, 2013
Monday, September 16, 2013
SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts
This is an example of how to graph polynomials with multiplicities. The images show how to factor the polynomial and find the end behaviors. Furthermore, it shows the y intercept, which can be found by plugging 0 in for x in the original polynomial.
The viewer needs to pay special attention to the multiplicities of the factors, so they know how to graph the polynomial. Each multiplicity has a different behavior. Moreover, knowing the end behavior can also help graph the polynomial because it shows which way the graph ends are pointing.
Wednesday, September 11, 2013
Tuesday, September 10, 2013
SP#1: Unit E Concept 1 - Graphing a quadratic and identifying all key parts
This is a quadratic function that we will change into a parent graph, and graph it. To graph this function, we need to find the vertex, y intercept, axis of symmetry, and x intercepts. There are certain steps that need to be taken in order to graph quadratics.
The viewer needs to pay attention to signs of the vertex, because it is easy to overlook. The vertex is (h, k) and you need to make sure that you take the opposite sign of h. Furthermore, you need to double check whether or not you have imaginary numbers. Finally, make sure you approximate the x-intercepts correctly.
Sunday, September 1, 2013
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