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When Is a Polynomial a Composition of Other Polynomials?
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Journal Article
When Is a Polynomial a Composition of Other Polynomials?
2011
Overview
In this note we explore when a polynomialf(x) can be expressed as a composition of other polynomials. First, we give a necessary and sufficient condition on the roots off(x). Through a clever use of symmetric functions we then show how to determine iff(x) is expressible as a composition of polynomials without needing to know any of the roots off(x).
Publisher
Mathematical Association of America
