4. For each of the following polynomials p(x), find a number a such that p(x) is the minimal polynomial of a over Q. a) p(x)= x² +2r-7 b) p(x)=x²-10z² +1
4. For each of the following polynomials p(x), find a number a such that p(x) is the minimal polynomial of a over Q. a) p(x)= x² +2r-7 b) p(x)=x²-10z² +1
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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Question
![4. For each of the following polynomials p(r), find a number a such that p(x) is the
minimal polynomial of a over Q.
a) p(x) = x² + 2r-7
b) p(x)= x¹10x² + 1
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60489058-f4b5-4f96-91ee-81acf7931922%2Feaacbf63-6a1e-459e-98df-0889742921be%2F54drsda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. For each of the following polynomials p(r), find a number a such that p(x) is the
minimal polynomial of a over Q.
a) p(x) = x² + 2r-7
b) p(x)= x¹10x² + 1
-
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