Determine which of the polynomials below is (are) irreducibleover Q. a. x + 9x* + 12x² + 6b. x + x + 1c. x* + 3x2 + 3d. x + 5x2 + 1e. (5/2)x + (9/2)x+ + 15x³ + (3/7)x² + 6x + 3/14

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a. x + 9x* + 12x² + 6 b. x + x + 1 c. x* + 3x2 + 3 d. x + 5x2 + 1 e. (5/2)x + (9/2)x+ + 15x³ + (3/7)x² + 6x + 3/14

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

Determine which of the polynomials below is (are) irreducible
over Q.

a. x + 9x* + 12x² + 6
b. x + x + 1
c. x* + 3x2 + 3
d. x + 5x2 + 1
e. (5/2)x + (9/2)x+ + 15x³ + (3/7)x² + 6x + 3/14

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