Roots of polynomials and their connections

In the study of mathematics, one of the most useful, relevant topics explored in secondary mathematics remains the zeros of polynomials. This paper will present various ways to explore this topic while preserving the fundamental concept as a whole. In addition, this paper will reveal some distinct relationships between roots and their behavior within the different branches of mathematics. The purpose of this paper is to show how this topic can be inserted at key points in the developmental curriculum to preserve the autonomy of this vital mathematical concept, allowing students to experience the behavior and value of this topic in a variety of contexts.

Name thesis:degree_name

Master of Arts

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Texas at Austin

Year dc:date.issued

2010

Author dc:creator

• Wardlaw, Cathy Jo

Advisor dc:contributor.advisor

• Armendáriz, Efraim P.

Committee member dc:contributor.committeemember

• Daniels, Mark L.

• Polynomials
• Roots of polynomials
• Connections
• Zeros of polynomials

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/2152/ETD-UT-2010-08-1619

OAI identifier oai:identifier

oai:repositories.lib.utexas.edu:2152/ETD-UT-2010-08-1619