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Sunday, September 29, 2013

SV#1: Unit F Concept 10: Finding Zeroes Of Polynomials (Real and Imaginary)



     The problem is about putting everything in Unit F together. Using the synthetic division to find zero hero, and getting the numbers that made zero hero as your factors and zeroes. Everything in Unit F has a purpose in Concept 10 equations to find your answers. With every step, you get closer to the answer, and it helps you limit the numbers you have to try to get zero hero and your factors.

     The viewer need to pay special attention to the first exponent because that determines how many answers you will have. The viewers also need to pay special attention to when they need to use completing the square or the quadratic formula. They have to pick either one to factor the quadratic equations, but they have to make sure the one they pick is the easier one to get their answer. When finding a possible rational zero to use in the synthetic equation, they could use their calculators to find it to make it easier for them. Plug in the equation, graph, put trace, and then guess a number from the possible rational zero and what ever number makes y=0, then it will work.

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Sunday, September 15, 2013

SP #2: Unit E Concept: 7 Graphing Polynomials




     The problem is about graphing polynomials. In order to graph polynomials, they first have to factor the equation, then they equal it to zero so you get your x-intercepts; because you have your x-intercept, you see what the multiplicities are so that determines what kind of line will go through the point.. To get your y-intercept, you plug in zero to the original equation and the number you get, you plug it in to the y value and you get your y-intercept. In order to get your end behavior, you have to see what kind of graph it is by the first number of the original equation; meaning if it's positive or negative and if the exponent is odd or even.  

     The viewers need to pay special attention to the multiplicities and the End Behavior in order to understand. The End Behavior determines what kind of graph it is, and the multiplicities determines what kind of line goes through the point. If the multiplicity is one then it goes thru, if two it bounces, and if it's three it curves to the point. The most important thing is to go through the points, if a point isn't there, then you can't go through another point. 

Monday, September 9, 2013

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


The problem is about finding the parent function equation, vertex, maximum or minimum, y-intercept, axis, x-intercept, and if there is and exact and approximate point. Mainly, this problem is about polynomials. With polynomials, you have to see what goes with what. Like the number of terms, degrees, and graphing them.

The viewers need to pay special attention in order to understand is when factoring, they have to do it correctly or your whole equation is wrong. Also, if the equation had imaginary numbers, then you won't be able to plot those points because we are dealing with all real numbers. A last thing they need to be careful for is to make sure when you put your answer for the axis, you must and I say MUST include x= to it or else it is wrong.