Answered: 3. Let P be the set of polynomials with…

3. Let P be the set of polynomials with real coefficients and with degree > 1. If f € P, let Af = {x ER: f(x)=0}. Prove that U Af = R and that Af = 0. := fEP fEP

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. Let P be the set of polynomials with real coefficients and with degree > 1. If fe P,
let Af = {x ER: f(x)=0}. Prove that U Af = R and that Af = 0.
fEP
fEP

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