A polynomial p of degree n has all its zeros in the disc of radius R centred at 0. Quoting a theorem from the course, write down the value of 1 2πί La P(z) 'p'(z) dz, where is the circle of radius 2R centred at 0. γ

A polynomial p of degree n has all its zeros in the disc of radius R centred at 0. Quoting a theorem from the course, write down the value of 1 2πί La P(z) 'p'(z) dz, where is the circle of radius 2R centred at 0. γ

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 44E

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Question

A polynomial p of degree n has all its zeros in the disc of radius R centred at 0.
Quoting a theorem from the course, write down the value of
1
2πί
La P(z)
'p'(z)
dz,
where is the circle of radius 2R centred at 0.
γ

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