Abstract
In the last chapter we described some algebra which arises in integrating. In this chapter we observe that differentiating can be done purely algebraically, and can give a partial criterion for deciding whether a polynomial has a repeated factor. Since we can differentiate without using limits, we can assume that the polynomials have coefficients in any field, not necessarily the field of real numbers.
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© 1979 Springer-Verlag New York Inc.
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Childs, L. (1979). The Derivative of a Polynomial. In: A Concrete Introduction to Higher Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0065-6_21
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DOI: https://doi.org/10.1007/978-1-4684-0065-6_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-0067-0
Online ISBN: 978-1-4684-0065-6
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