Sunday, September 29, 2013

SV #1: Unit F Concept 10



What is this problem about? 
This problem is about finding all of the zeroes including real and complex zeros as well when given a a polynomial of fourth or fifth degree. Basically, we will be looking for several components like the p's and q's. Also, we will solve for the positive and negative zeroes. In the end we will use synthetic division to find the zeroes with perhaps multiplicities and then once we break it down to a quadratic we can factor out usually with the quadratic equation. 

What does the viewer need to pay special attention to in order to understand? 
The view should pay special attention when it comes to the factorization. The reason is considering that it involves a lot of simplifying, it will not cut it if they are not fully paying attention. For example forgetting the number you take out when simplifying the equation and putting it into the factorization part to it is a common mistake. Another component is that many times you may forget to to do the extra step when simplifying complex numbers. These problems require full time of full attention. 



Monday, September 16, 2013

SP #2 Unit E Concept 7: Graphing Polynomials


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      What is this problem about?                                                                                                                                
             This problem is basically about graphing a polynomial and being able to find several factors to it. For example,  from the equation we have to factor it out and then find the zeros, or x-intercepts. Some times you can start off backwards, like in this case, by coming up with the zeros first and then the factored equation to finally foil. Finding the y-intercepts as well would a task and then the extrema with the intervals of increase and decrease. To be able and graph it, you look at the zeros and decide whether the graph will go through the point, bounce, or curve. The way you decide is by knowing what the multiplicities are. 


What does the viewer need to pay special attention to in order to understand? 
            The viewer needs to pay special attention to the x-intercepts and know what the multiplicities exactly due to the fact that the graph will come out incorrect if the multiplicities are wrong. Also, another thing is that knowing the end behavior is important since it will give you a hint of how the graph will look like. Just overall be cautious because one simple mistake can ruin the whole problem. 

Monday, September 9, 2013

WPP #3 Unit E Concept 2:Parts to Quadratics


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SP #1 Unit E Concept 1: Identifying Parts of the Graph of a Quadratic

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1. What is this problem about? 
     This problem is about parent graphs and being able to graph them as well as find many different factors of the quadratic. For example, we are going to be finding the y-intercepts and x-intercepts algebraically. Also, finding the vertex is another point to this problem. We will be able and get to all of those answers by completing the square of the function.


2. What does the viewer need to pay special attention to in order to understand? 
     The viewer needs to pay special attention to the way that the parent function equation is written. The reason is because they have to make sure and it is not written in standard form. Another thing is that they have to be extra careful and be cautious when it comes to imaginary numbers.