Definition:Polynomial Addition/Sequence

Definition

Let:

$f = \sequence {a_k} = \tuple {a_0, a_1, a_2, \ldots}$

and:

$g = \sequence {b_k} = \tuple {b_0, b_1, b_2, \ldots}$

be polynomials over a field $F$.

Then the operation of (polynomial) addition is defined as:

$f + g := \tuple {a_0 + b_0, a_1 + b_1, a_2 + b_2, \ldots}$

Sources

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