Mathematics · Ring Theory
Which of the following polynomials is irreducible in the given polynomial ring?
- 1x4 + 4x2 + 3 in &mathbb;Z[x]
- 22x2 + 3xy + y2 + 3x + 2y + 1 in &mathbb;Q[x, y]
- 3x3 + 100x2 + 25x + 10 in &mathbb;Z[x]✓
- 4x2 + xy2 - x - y + 1 in &mathbb;Q[x, y]
Correct answer
x3 + 100x2 + 25x + 10 in &mathbb;Z[x]
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