Question

What is a Polynomial?

Answer 1

Polynomial Function of Degree n

A polynomial function `f(x)` of degree `n` is of the form

`f(x)=a_nx^n+a_{n-1}x^{n-1}+cdots+a_1x+a_0`,

where `a_n` is a nonzero constant, and `a_{n-1},a_{n-2},...,a_0` are any constants.

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Examples

`f(x)=x^2+3x-1` is a polynomial of degree 2, which is also called a quadratic function.

`g(x)=2+x-x^3` is a polynomial of degree 3, which is also called a cubic function.

`h(x)=x^7-5x^4+x^2+4` is a polynomial of degree 7.

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I hope that this was helpful.