Sunday, September 29, 2013

SV #1: Unit F Concept 10:Finding real and complex zeroes for a 4th Degree Polynomial

        This problem is about finding all the zeroes, real and complex zeroes for a 4th degree polynomial. We will be using the rational roots theorem to find all possible zeroes. Additionally, we will be utilizing Descarte's rule of sign to find possible positive and negative real zeroes. This video will demonstrate how to find all zeroes including imaginary zeroes. 
       The viewer needs to pay special attention to distributing the negative in order to find the factors. Additionally, it is crucial that the viewer focuses on using the zero hero answer row as the new header row for the next step. Once you have a quadratic, you can try to factor the polynomial or use the quadratic formula. It is important to remember that there could be imaginary or irrational zeroes.

Monday, September 16, 2013

SP # 2:Unit E Concept 7: Graphing Polynomial With Multiplicities

           The problem is about graphing a polynomial. This included finding the x-intercepts, y-intercept, zeroes with multiplicities, and end behavior. A polynomial is given in which we have to factor. This will help us determine how to graph the equation demonstrating how they behave at the extremas and in the middle.
           While graphing polynomials, special attention should be payed to a zeroes multiplicity so we know how to act around the x-axis. Additionally, it is important to remember that multiplicities of 1 go through the graph while two bounce, and three curve. We also need to pay close attention to the end behavior so we know what direction our graph should start and end at.

Monday, September 9, 2013

WPP #3: Unit E Concept 2: Path of "Football"

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SP# 1: Unit E Concept 1: Identifying x & y-intercepts, Vertex, Axis of Quadratics, and Graphing

       This problem is about changing an equation from standard from into parent function form so that it is easier to graph. In this problem, you are trying to find the vertex, x-intercepts, y-intercept, and the axis of symmetry. Multiple steps are necessary to finding the solution. These steps will ultimately make graphing the equation easier and more accurate.
       In order to understand, special attention should be given to finding the vertex. We must remember that h is the opposite of its sign in the parent function. Additionally, it is necessary to recall that the x-intercepts may have 1, 2 or none (imaginary) x-intercepts. Also, to better understand, we must also recognize that the parent function allows us to provide an accurate representation of the function.