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Sunday, September 29, 2013

SV#1: Unit F Concept 10: given polynomial of 4th or 5th degree find all zeroes

Click here to view my lesson about SV#1 unit F concept 10: Given polynomial of 4th or 5th degree, find all zeroes


In this video you will be learning how to find the zeroes to polynomials of higher degrees in this case a polynomial to the 4th degree. It will utilize the rational roots theorem, Descartes rule of signs, and synthetic division. As the video goes through every step of problem, hopefully making the process clear.

Something to pay special attention to would be Descartes rule of sign and how when finding negative real zeroes only odd roots change. Another thing would be that every step helps contribute to the next one. So if something is done wrong it's likely that the answer is wrong too. In the end you should also see the other way of writing the factors of the polynomial out.

Tuesday, September 17, 2013

SP #2: Unit E Concept 7: Graphing Polynomials


This problem is on Graphing Polynomials, and how to do so. Including x-intercept, y-intercept, zeroes (with Multiplicities), and end behavior. One thing to know is that all polynomials will be factorable.

The Viewer needs to pay special attention to the multiplicities, and how they work out in order to understand. A multiplicity of 1 would cause the line to go straight through, a even multiplicity causes a bounce off the x intercept not actually crossing it. A odd multiplicity would cause a curve through the graph.

Friday, September 6, 2013

SP# 1: Unit E Concept 1: Identifying x-intercepts, y-intercepts,vertex (max/min), axis of quadratics and graphing them. Quadratics in standard form.



   This problem involves the process of solving a quadratic by using completing the square, in order to get it in parent function form. And from there you would be able to solve for the vertex, y-intercept, axis (line of symmetry), and the x intercepts.

   The viewers need to pay special attention to every step taken in order to fully understand the concept. For example they must keep in mind that when finding the y-intercept its easier to get the answer when plugging in zero into the original equation (standard -form).