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Section 10.1: Radical Expressions and Functions
Section 10.1: Radical Expressions and Functions

Solving Quadratic Equations • Factoring • Square Roots
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Chapter 9 Section 1

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Complex numbers 1 Complex algebra and geometry

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Number Theory Week 10

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Notes on Multiplying Polynomials (1)

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< 1 ... 106 107 108 109 110 111 112 113 114 ... 164 >

Vincent's theorem

In mathematics, Vincent's theorem—named after Alexandre Joseph Hidulphe Vincent—is a theorem that isolates the real roots of polynomials with rational coefficients.Even though Vincent's theorem is the basis of the fastest method for the isolation of the real roots of polynomials, it was almost totally forgotten, having been overshadowed by Sturm's theorem; consequently, it does not appear in any of the classical books on the theory of equations (of the 20th century), except for Uspensky's book. Two variants of this theorem are presented, along with several (continued fractions and bisection) real root isolation methods derived from them.
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