Sunday, September 29, 2013

SV#1: Unit F Concept 10- Finding Real and Imaginary Zeroes of a Polynomial


This is a video from Unit F Concept 10 that goes through step and step instructions for how to do this specific problem. This type of problem uses different rules like Descartes rule of signs, P/Q, and synthetic division. Not only those rules and equations but also the quadratic formula.

Make sure that when doing this problem you attempt it first and then watch the video tutorial. Some things that u should be very careful and cautious with is that when using Descartes rule of signs when finding f(x) you look at the sign of coefficient of the term. When finding f(-x) you are looking at the exponent of each term. If the exponent is even then the sign stays the same but if the exponent is odd the sign changes. Then you look at the changes of signs throughout the entire function and that will evaluate how many positive and negative zeroes there are. Also, when using synthetic division you are adding the numbers. And you are using synthetic division until you have reached to a quadratic.

I hope this video helped. Thank you for watching.

Monday, September 16, 2013

SP #2: Unit E Concept 7: Graphing a Polynomial and Identifying All Key Parts

 This Is the Problem and the Factored equation is also listed. Make sure to please solve this yourself before actually checking the answers.
 This is the final graph of the equation.
My equation for This SP is f(x)=x^4-5x^3-4x^2+44x-48

 This problem demonstrates how to find the end behavior of each graph and their x-intercepts. The ending behaviors is solved by just looking at the equation itself. The entire point of this studenjt problem is to be able to solve the ending behaviour and to be able to plot the x-intercepts on the graph and connect them in a way that will make this all work out. For this End behaviou problem we will not need to find the extrema. Which means we do not need a calculator for this problem. Pay close attention as to how the line ofn the graphs and the points are connected.

There are many things that we must look out for in order to be able to solve this equation. In order to be able to find the factored equation you must factor out any common factors of the equation. If there aren't any then we shall go straight to using the X and factoring out. Once we have done this we must find the end behavior. Since our highest degree is even and the leading coefficient is positive the graph will be As (x) approaches infinity f(x) is positive infinity and as (x) approaches negative infinity f(x) is positive infinity. Both ends of the graph are going up.  The X-intercepts are (2,0) M2 (-3,0) M1 and (4,0) M1. The multiplicity determines if the line will end up going Through (M1), Bounce(M2), or Curve(M3). To find the y-intercept you plug in 0 into x and that will be your answer.

Tuesday, September 10, 2013

WPP #3 Unit E Concept 2: The amazing set


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SP#1: Unit E concept 1: Graphing Quadratics and identifying all key parts


 This problem is about how to convert a function into a parent function. When you have found your parent function you must be able to pick out your vertex from this equation simply by looking at it. To Find the y-intercept you just plug 0 into x and solve. The axis will always be x= a number. To solve for the x-intercept you solve the function.

In order to solve this  function you must look out for the signs. Also. If a number is factored outside the parenthesis to remember to bring it back down in the equation later on DON'T FORGET ABOUT IT. When finding the Axis you must take the opposite sign of that number because when it is inside the parenthesis that is what you do, The way that yo graph it. Lastly, remember that if the x-intercept ponts do end up being real numbers that you must solve completely.