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Sunday, September 29, 2013

SV #1: Unit F Concept 10: Real Zeroes and Factorization


This problem is about how to predominantly find the real zeroes and factorization of a fourth-degree polynomial. We are given a polynomial to the fourth degree and are asked to find the possible positive and negative real zeroes as well as utilizing the Descartes Rule of Signs for it. We also must find the p/q answers in order to narrow our options in plugging in numbers for our synthetic division. Once we have a quadratic, we factor it out with mainly the quadratic formula to get our last 2 zeroes.
We must pay special attention to not make any small mistakes along the way. Any mishaps in signs or variables will result in a completely altered answer. Also, it is paramount to simplify our answers as much as possible if possible at all. As long as we follow these guidelines, then evaluating problems like these will be a breeze. Also, make sure to know the quadratic formula in order to find the last 2 zeroes.


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