Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
(3.4) #4
3. Prove that if f (x)g (x) is primitive, then f(x) and g(x) must also be primitive. 4. Determine the irreducibility of the following polynomials in Q[x]. i. x4 +x+1 ii. x³--1/ 5. Use Proposition 3 to determine the irreducibility of the following polynomials in Z[x]
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Transcribed Image Text:3. Prove that if f (x)g (x) is primitive, then f(x) and g(x) must also be primitive. 4. Determine the irreducibility of the following polynomials in Q[x]. i. x4 +x+1 ii. x³--1/ 5. Use Proposition 3 to determine the irreducibility of the following polynomials in Z[x]
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