Show that the following polynomials are irreducible over Z[r]. fi(x) = 17r³ + 7x + 3, f2(r) = 2r* + 3r² +x – 2, fa(x) = 7xª + 5x – 3.

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Show that the following polynomials are irreducible over Z[r].
fi(x) = 17r³ + 7x +3,
f2(x) = 2r* + 3x² +x – 2,
fa(x) = 7x* + 5x – 3.
Transcribed Image Text:Show that the following polynomials are irreducible over Z[r]. fi(x) = 17r³ + 7x +3, f2(x) = 2r* + 3x² +x – 2, fa(x) = 7x* + 5x – 3.
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