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Understanding Repeated Roots (Polynomials) 11 лет назад


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Understanding Repeated Roots (Polynomials)

This video follows from "Graphing ~ Polynomials ~ 03 ~ Non-Monic Leading Coefficients." It is the third (and last) of three videos discussing variations on the basic them of using a polynomial's roots to graph its general shape. Even powered factors cause polynomials to behave "like parabolas" near their roots; and odd powered factors cause polynomials to behave "like a Cubic curve" near their roots. Now that the key ideas have been shared in these four videos, the next video will demonstrate how this graphing skill (using roots) can be used to rapidly sketch the graphs of polynomial equations that have been provided in senior school examinations in New South Wales, Australia. I hope you find the videos helpful and relevant to your mathematical needs. If you wish to be informed of each video as I produce it, please subscribe to my channel. It would be appreciated if you would like and/or comment on this video as well -- especially if these suggestions have helped you. For more information about mathematics or how to study visit my website, Crystal Clear Mathematics, at http://www.crystalclearmaths.com/ If you wish to be kept up to date with what I am producing on the website (ad free, spam free, cost free mathematics and study materials), please add your name to the mailing list there. Download my FREE 32 page PDF "How to Study" booklet at http://crystalclearmaths.com/wp-conte.... Best wishes with your study and your mathematics! Thank you.

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