: Mathematics: polynomial function

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polynomial function

A polynomial function is a function that can be defined by evaluating a polynomial. More precisely, a function $f$ of one argument from a given domain is a polynomial function if there exists a polynomial ${\\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\\cdots +a_{2}x^{2}+a_{1}x+a_{0}}$ that evaluates to ${\\displaystyle f(x)}$ for all $x$ in the domain of $f$ (here, $n$ is a non-negative integer and $a 0, a 1, a 2, ..., a n$ are constant coefficients). Generally, unless otherwise specified, polynomial functions have complex coefficients, arguments, and values. In particular, a polynomial, restricted to have real coefficients, defines a function from the complex numbers to the complex numbers. If the domain of this function is also restricted to the reals, the resulting function is a real function that maps reals to reals.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Polynomial#Polynomial_functions)

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