Last Updated
：2025/11/21
polynomial function
Noun
(mathematics)
Any
function
whose
value
is
the
solution
of
a
polynomial;
an
element
of
a
subring
of
the
ring
of
all
functions
over
an
integral
domain,
which
subring
is
the
smallest
to
contain
all
the
constant
functions
and
also
the
identity
function.
(If
the
polynomial
is
multivariate
then
there
is
a
different
identity
function
corresponding
to
each
variable.)
Japanese Meaning
多項式関数: 数学において、多項式の値によって定義される関数。具体的には、多項式式を計算することで求められる値を出力する関数であり、その定義は全ての定数関数と恒等関数を含む最小の部分環の一要素として考えられる。（多変数の場合は、各変数に対して対応する恒等関数が存在する点も含まれる）
Sense（1）
(mathematics)
Any
function
whose
value
is
the
solution
of
a
polynomial;
an
element
of
a
subring
of
the
ring
of
all
functions
over
an
integral
domain,
which
subring
is
the
smallest
to
contain
all
the
constant
functions
and
also
the
identity
function.
(If
the
polynomial
is
multivariate
then
there
is
a
different
identity
function
corresponding
to
each
variable.)
（ plural ）
Quizzes for review
(mathematics) Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)
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See correct answer
polynomial function
To ensure accuracy, the researcher plotted the polynomial function and inspected its behavior near each suspected root.
See correct answer
To ensure accuracy, the researcher plotted the polynomial function and inspected its behavior near each suspected root.
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