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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
Question
Thank you
![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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