# How do you find the degree of -4?

Nov 1, 2017

$0$

#### Explanation:

A polynomial is a sum of terms in some variable, or variables with non-negative integer degrees.

The degree of the polynomial is the highest degree of each of the constituent terms.

In our example:

$- 4 = - 4 {x}^{0}$

has degree $0$

So the polynomial $- 4$ has degree $0$.

Warning

You might think that the zero polynomial $0$ also has degree $0$, but note that it is the sum of no terms with non-zero coefficients.

It is probably best said to have undefined degree, but if one is assigned, then it is conventionally the value $- 1$ or the value $- \infty$.