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Monday, September 16, 2013

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

This problem is about  graphing a polynomial. In order to graph the polynomial, you must first factor out the equation. Once, you have the factors you must find the zeroes which are also called the x-intercepts. Then using the leading coefficient it tells you if it is positive or negative and the exponent tells you if it is odd or even which signify the end behaviors of the graph. The y-intercept is found by plugging in zero in all the "x" places.

You need to pay careful attention to the x-intercepts with the multiplicities in order to graph the equation correctly. If the multiplicity is one, then the graph goes through the x-axis. However if the multiplicity is two, then the graph bounces off the x-axis.

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