This concept has to do primarily with graphing polynomials by using zeroes and mathematic laws. You first factor the given polynomial to make it easier to deal with! It is important that you COMPLETELY factor the polynomial. By completely factoring the polynomial, it is easier for the problem solvers to find the zeroes of the graph. The next step is to define the end behavior. This is done by looking at the leading coefficient and the exponent attached to it. In this case the leading coefficient is positive and the exponent is even so it is an even positive graph. After this is completed, use notation to tell the viewers in which directions the lines will go. Then, find the zeroes by setting the factors equal to zero and solving. If there are multiples of an answer, use the word "multiplicity" and the number of times that the value is repeated. Then plot the points and graph while using TBC 123!
It is very important that you factor the polynomial completely and correctly. One small mistake in the early process could cause a big change in the final graph. Also, make sure that the end behavior is correct. After all, you want to go through the doors not run through the wall. Don't forget, TBC, 123!
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