Publication
Title
An extension of the perplexing polynomial puzzle
Author
Abstract
Originally published as a puzzle in 2005, the Perplexing Polynomial Puzzle indeed is perplexing: any given polynomial p(x) with nonnegative integer coefficients can be completely determined by just two evaluations. In this article, an extension is made to polynomials with arbitrary integer coefficients, by considering a simple translation x↦x+k with k∈N such that the result is a new polynomial with only nonnegative integer coefficients on which the original solution can be used. A proof is given that this is indeed always possible, and a method is constructed to determine a suitable k to do so.
Language
English
Source (journal)
The college mathematics journal. - Washington, D.C.
Publication
Washington, D.C. : 2023
ISSN
0746-8342
DOI
10.1080/07468342.2023.2225391
Volume/pages
54 :4 (2023) , p. 299-307
Full text (Publisher's DOI)
Full text (open access)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Record
Identifier
Creation 05.10.2023
Last edited 20.01.2024
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