Determine which of the polynomials below are irreducible over Q. (a) a" + 9xª + 12:r² + 6 (b) a* + x + 1 (c) r* + 3.r² + 3 (d) r + 5x? + 1 (e) +* + 15³ + ² + 6x +

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine which of the polynomials below are irreducible over Q.
(a) a + 9x* + 12r² + 6
(b) x +x +1
(c) a* + 3x2 + 3
(d) r + 5x² + 1
(e) + r + 153 + a² + 6x +
14
Transcribed Image Text:Determine which of the polynomials below are irreducible over Q. (a) a + 9x* + 12r² + 6 (b) x +x +1 (c) a* + 3x2 + 3 (d) r + 5x² + 1 (e) + r + 153 + a² + 6x + 14
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