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Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros


Professor Dave Explains

9分15秒

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Algebra 1 & 2 #37

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説明

By now, graphing lines seems trivial, and even graphing quadratics is a piece of cake. But what about higher-degree polynomials like cubics, quartics, and quintics? And even higher than that? It might seem quite daunting, but there are some handy tricks that will help you graph even these very complex functions. These involve using the leading coefficient test to discern the end behavior of the function, as well as plotting zeros and assessing their multiplicities in order to get a rough sketch of the function. It's not as bad as it sounds, check it out!

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タグ

Professor Dave Explains
# Algebra 2
# function
# graph
# polynomial
# maximum
# minimum
# infinity
# leading coefficient test
# zero
# x-intercept
# end behavior
# multiplicity
# Professor Dave Explains