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# Higher order polynomials

Polynomials are Functions of the form \(f(x) = a_{n}x^{n} + a_{n-1}x^{n-1} + \ldots + a_{1}x + a_{0}\), where \(a_{n} \neq 0\) and \(n \in \mathbb Z\).

Higher order conventionally refers to any polynomial with a degree greater than quadratic.

## Terminology

leading term |
The term with the highest power |

leading coefficient |
Leading term’s coefficient |

monic |
When the leading coefficient is 1 |

degree |
Index of the leading term (e.g. a cubic function is a polynomial of degree 3) |

constant term |
The term independent of \(x\) |