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Budan's theorem

 Home Mathematics Fields of mathematics Applied mathematics Algorithms Root-finding algorithms
 0 By others on same topic  0 Discussions  1970-01-01  See my version
Budan's theorem is a result in algebra that provides a method for determining the number of real roots of a polynomial within a specific interval. Specifically, it relates to the evaluation of the signs of the polynomial and its derivatives at the endpoints of the interval. The theorem can be stated as follows: 1. Consider a polynomial \( P(x) \) of degree \( n \) and its derivative \( P'(x) \).

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