Definition:Irreducible Polynomial/Definition 2

Definition

Let $K$ be a field.

An irreducible polynomial over $K$ is a nonconstant polynomial over $K$ that is not the product of two polynomials of smaller degree.

Also see

• Equivalence of Definitions of Irreducible Polynomial over Field

Sources

• 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $6$: Polynomials and Euclidean Rings: $\S 29$. Irreducible elements: Example $58$