3. Show that each of the following elements is algebraic over Q, and find its minimal polynomial m(x) = Q[x]. Explain why m(x) is irreducible, in each case. (a) a = 35 (b) B=1+ 3/2 (c) y = √√1+ √√3
3. Show that each of the following elements is algebraic over Q, and find its minimal polynomial m(x) = Q[x]. Explain why m(x) is irreducible, in each case. (a) a = 35 (b) B=1+ 3/2 (c) y = √√1+ √√3
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. Show that each of the following elements is algebraic over
Explain why m(x) is irreducible, in each case..
(a) a =
3/5
(b) B=1+ 3/2
(c) y = √√1+ √√3
and find its minimal polynomial m(x) = Q[x].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf4d5614-e5fa-4399-aabc-c345eeef0588%2Fdb31d04b-341f-4111-b6c9-4c76b1f09348%2Fl32ega9_processed.png&w=3840&q=75)
Transcribed Image Text:3. Show that each of the following elements is algebraic over
Explain why m(x) is irreducible, in each case..
(a) a =
3/5
(b) B=1+ 3/2
(c) y = √√1+ √√3
and find its minimal polynomial m(x) = Q[x].
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