What is a Polynomial?

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Answer 1 · 2014-11-12T19:38:36

Polynomial Function of Degree n

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

$f (x) = a_{n} x^{n} + a_{n - 1} x^{n - 1} + \dots + a_{1} x + a_{0}$ $f(x)=a_nx^n+a_{n-1}x^{n-1}+cdots+a_1x+a_0$ ,

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

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.

I hope that this was helpful.