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Abstract Following a line of inquiry regarding the exact number of real roots of a real polynomial, this investigation considers: Descartes’ Rule of Signs, the Budan–Fourier Theorem, and versions of… Click to show full abstract
Abstract Following a line of inquiry regarding the exact number of real roots of a real polynomial, this investigation considers: Descartes’ Rule of Signs, the Budan–Fourier Theorem, and versions of Sturm’s Method in contrast with the approximate root count gleaned from graphing utilities. Online applets are provided to allow the reader to freely experiment with different polynomial examples. Additionally, activities at the end of each section facilitate further investigations and deeper understanding of the topics.
Keywords:
polynomials using;
roots polynomials;
sturm sequences;
finding real;
using sturm;
real roots
Journal Title: PRIMUS
Year Published: 2019
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Journal Title: PRIMUS
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!