Definition:Degree of Polynomial/Sequence/Field

Definition

Let $f = \sequence {a_k} = \tuple {a_0, a_1, a_2, \ldots}$ be a polynomial over a field $F$.

The degree of $f$ is defined as the largest $n \in \Z$ such that $a_n \ne 0$.

Sources

• 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $6$: Polynomials and Euclidean Rings: $\S 25$. Polynomials