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Polynomials with equally spaced zeros

Published online by Cambridge University Press:  01 August 2016

K. Robin McLean
K. Robin McLean*
Affiliation:
Dept. of Education, University of Liverpool, PO Box 147, Liverpool L69 3BX
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Extract

Polynomials like (x + l)x(x - 1) or 5 (x - 2)(x - 4)(x - 6)(x - 8) are particularly easy to sketch because their zeros are real, distinct and equally spaced along the x-axis. As a simple exercise, please picture in your mind the graph of

y=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)

Type
Articles
Information
The Mathematical Gazette , Volume 80 , Issue 489 , November 1996 , pp. 526 - 531
Copyright
Copyright © The Mathematical Association 1996

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References

1. Griffiths, I. Squintics and the sinusoidal fallacy, Math. Gaz. 78 (1994) pp. 304–307.Google Scholar