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.


Term Description
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 \(x\)