# How do you determine the degree of a polynomial?

May 4, 2018

Refer to Explanation.

#### Explanation:

The degree of a polynomial is determined by the highest power of $x$ in the polynomial

e.g.
$f \left(x\right) = 2 {x}^{5} - 3 {x}^{2} + 4$
The highest power of $x$ in f(x) is 5.
Hence, degree of f(x) = 5

A polynomial with only a constant, e.g. $P \left(x\right) = 5$ has a degree of 0 as $5 = 5 {x}^{0}$