A problem on the turning points of polynomials

R. Thompson

doi:10.1080/0020739950260504

A problem on the turning points of polynomials

R. Thompson

Research output: Contribution to journal › Article › peer-review

Abstract

The construction of polynomials with maximum turning points lower than minimum turning points is investigated. As well as providing cautionary examples for students, the solution requires the application of quadratic inequalities and could provide an interesting topic for coursework at A level. The problem also provides an opportunity for practice in the use of graph plotting software.

Original language	English
Pages (from-to)	675-684
Number of pages	10
Journal	International Journal of Mathematical Education in Science and Technology
Volume	26
Issue number	5
DOIs	https://doi.org/10.1080/0020739950260504
Publication status	Published - 1995

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title = "A problem on the turning points of polynomials",

abstract = "The construction of polynomials with maximum turning points lower than minimum turning points is investigated. As well as providing cautionary examples for students, the solution requires the application of quadratic inequalities and could provide an interesting topic for coursework at A level. The problem also provides an opportunity for practice in the use of graph plotting software.",

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JO - International Journal of Mathematical Education in Science and Technology

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A problem on the turning points of polynomials

Abstract

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