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Sunday, September 29, 2013

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


        This problem concerns deriving zeroes from given polynomials of either the 4th or 5th degree. Basically, you work out the problem until you arrive at an end result of 4 zeroes (for 4th degree polynomials), or 5 zeroes (for 5th degree polynomials). In doing so, however, there are several crucial steps that must be taken in order to ensure the success of your efforts. Anyways, this could be useful in graphing, too.
       Some important things that one must pay attention about in order to master this concept include remembering to use the rational roots theorem, and the Descartes Rule of Signs, and remembering to put zeroes in to fill voids when an x is missing in the polynomial. The most important thing, however, is to remember that you may more easily complete this process by utilizing a graphing calculator in order to identify zero heroes. But, as scholars, is it not more honorable to walk the path filled with thorns in order to ensure our complete mastery of this concept? Either way, yeah; it is easier to use the graphing calculator.