4. V1+ 2 5. V2 - i In Exercises 6 through 8, find irr(a, Q) and deg(a, Q) for the given algebraic number a e C. Be prepared to prove your polynomials are irreducible over Q if challenged to do so. that 6. 3 - V6 7. V) + 7 8. 2+i In Exercises 9 through 16, classify the given a e C as algebraic or transcendental over the given field F. If a i

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 48E
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Section 29 number 8
4. V1+ 2
5. V2- i
In Exercises 6 through 8, find irr(a, Q) and deg(a, Q) for the given algebraic number a e C. Be prepared to prove
that your polynomials are irreducible over Q if challenged to do so.
6. V3 – V6
7. J)+ v7
8. 2+i
In Exercises 9 through 16, classify the given a e C as algebraic or transcendental over the given field F. If a is
Transcribed Image Text:4. V1+ 2 5. V2- i In Exercises 6 through 8, find irr(a, Q) and deg(a, Q) for the given algebraic number a e C. Be prepared to prove that your polynomials are irreducible over Q if challenged to do so. 6. V3 – V6 7. J)+ v7 8. 2+i In Exercises 9 through 16, classify the given a e C as algebraic or transcendental over the given field F. If a is
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