4) Letn-f(T)T" + > a; · Ti=0be a monic polynomial of degree n 21 with a; E Z for all 0 < i

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Answered: 4) Let n-1 f(T) = T" +) a; · Ti i=0 be…

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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4) Let n-1 f(T) = T" +) a; · Ti i=0 be a monic polynomial of degree n > 1 with a; E Z for all 0 < i < n – 1. Show that if f(T) has a root in Q then it has also a root in Z.