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On the structure of polynomial roots

Published online by Cambridge University Press:  21 June 2021

R. W. D. Nickalls
R. W. D. Nickalls*
Affiliation:
10 Queens Parade, CheltenhamGL50 3BB e-mail: [email protected]
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Extract

This Article explores how root multiplicity and polynomial degree influence the structure of the roots of a univariant polynomial. After setting up the notation, we draw upon a result derived in [1], and show that all polynomial roots have a common underlying structure comprising just five parameters. Finally we present some examples involving the lower polynomials.

Type
Articles
Information
The Mathematical Gazette , Volume 105 , Issue 563 , July 2021 , pp. 253 - 262
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Copyright
© Mathematical Association 2021

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References

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