Mathematics · Abstract Algebra
Consider the polynomial f(x) = x 2 + 3x - 1. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1&mathbb{Z}[√13] is a unique factorization domain
- 2f is reducible over &mathbb{Q;}[√13]
- 3f is irreducible over &mathbb{Q;✓
- 4f is irreducible over &mathbb{Z}[√13]
Correct answer
f is irreducible over &mathbb{Q;
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