Definition:Degree of Polynomial/Sequence
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Definition
Ring
Let $f = \sequence {a_k} = \tuple {a_0, a_1, a_2, \ldots}$ be a polynomial over a ring $R$.
The degree of $f$ is defined as the largest $n \in \Z$ such that $a_n \ne 0$.
Field
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 $a_n \ne 0$.