Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below.
Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below.
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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PLEASE ANSWER 5 NEED THIS ASAP
![The polynomial f = x³ - 4x + 2 is irreducible over Q. Let u be a root of f in some extension Q(u) of Q.
Compute for (1+2u) (1-u²).
Enter your answer
5
Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below.
Enter your answer
6
List down the elements enclosed in a pair of
braces {}.(
(
Find a basis for Q(√2, √6 + √10) over Q(√3+ √5).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85584a28-cec6-4119-b265-5692abdcabb3%2F2d1331e8-9711-45a0-9b7a-11a581274623%2Fjuv9uf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The polynomial f = x³ - 4x + 2 is irreducible over Q. Let u be a root of f in some extension Q(u) of Q.
Compute for (1+2u) (1-u²).
Enter your answer
5
Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below.
Enter your answer
6
List down the elements enclosed in a pair of
braces {}.(
(
Find a basis for Q(√2, √6 + √10) over Q(√3+ √5).
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