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Monday, September 30, 2013

SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a 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. The viewer needs to pay special attention to distributing the negative in order to find the factors. Additionally, it is important 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. ALSO, I MADE A MISTAKE IT IS SUPPOSE TO BE 9+ OR MINUS SQUARE ROOT OF 41/4.

Monday, September 16, 2013

SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts

 

 
           This problem is graphing a polynomial function when given a set of zeros. In this case, the zeros given were 2 M2,4M1, 1M1. From there, you have to find the end behavior and y-intercept. Finally, with the help of a graphing calculator, (if wanted) will help you find an accurate graph.
      There are several things to pay attention to when following this program.  The amount of zeros automatically tells us which degree this polynomial will be in (the 4th). Another thing to look out for is to pay attention to the zeros first because that is what were starting with.
        
 

Monday, September 9, 2013

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



   You are trying to find the vertex, x-intercepts, y-intercept, and the axis of symmetry.This problem is about changing an equation from standard from into parent function form so that it is easier to graph. 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 show an accurate representation of the function.