Definition:Degree of Polynomial/Null Polynomial/Sequence
< Definition:Degree of Polynomial | Null Polynomial(Redirected from Definition:Degree of Null Polynomial over Field as Sequence)
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Definition
Let $f = \sequence {a_k} = \tuple {a_0, a_1, a_2, \ldots}$ be a polynomial over a field $F$.
Let $0_F$ be the zero of $F$.
Let $a_0 = a_1 = a_2 = \ldots = 0_F$.
Then $f$ is a null polynomial over $F$.
Sources
- 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $6$: Polynomials and Euclidean Rings: $\S 25$. Polynomials