Description
Topic A brings students back to the study of complex roots of polynomial functions. Students briefly review quadratic and cubic functions and then extend familiar polynomial identities to both complex numbers and to general polynomial functions. Students use polynomial identities to find square roots of complex numbers. The binomial theorem and its relationship to Pascal’s Triangle are explored using roots of unity. The topic concludes with students’ use of Cavalieri’s principle to derive formulas for the volume of the sphere and other geometric solids.
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Credits
From EngageNY.org of the New York State Education Department. Precalculus and Advanced Topics Module 3, Topic A, Overview.
Available from engageny.org/resource/precalculus-and-advanced-topics-module-3-topic-a-overview; accessed 2015-05-29.
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