# What is a higher degree polynomial function?

Mar 18, 2018

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#### Explanation:

A polynomial function of degree $n$ is a function in the form:

$f \left(x\right) = {a}_{n} {x}^{n} + {a}_{n - 1} {x}^{n - 1} + \ldots + {a}_{1} x + {a}_{0}$

where ${a}_{n} , {a}_{n - 1} , \ldots , {a}_{1} , {a}_{0}$ are constants with ${a}_{n} \ne 0$

For example a polynomial function of degree $2$ is:

$f \left(x\right) = 2 {x}^{2} + 3 x - 7$

To say "higher degree" just means that $n$ is larger, perhaps $4 , 5$ or $6$ instead of $2$ or $3$.