4. V1+ 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Section 29 number 4
Computations
In Exercises 1 through 5, show that the given number a e C is algebraic over Q by finding f(x) E Q[x] such that
f(a) = 0.
1. 1+ /2
4. V1+ 2
2. 2+ V3
3. 1+i
5. V2-i
In Exercises 6 through 8, find irr(a, Q) and deg(, Q) for the given algebraic number a e C. Be prepared to prove
alunominls are irreducible over Q if challenged to do so.
Transcribed Image Text:Computations In Exercises 1 through 5, show that the given number a e C is algebraic over Q by finding f(x) E Q[x] such that f(a) = 0. 1. 1+ /2 4. V1+ 2 2. 2+ V3 3. 1+i 5. V2-i In Exercises 6 through 8, find irr(a, Q) and deg(, Q) for the given algebraic number a e C. Be prepared to prove alunominls are irreducible over Q if challenged to do so.
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