Answer
The given expression is a polynomial of degree $1$.
Work Step by Step
A monomial is an expression of the form $ax^{k}$,
where $x$ is the variable,
the exponent $k$, a nonnegative integer, is the degree,
and $a$ is the coefficient of the term.
A polynomial expression is 0either a single monomial or a SUM of several monomials.
The degree of the polynomial is the degree of the monomial with the highest degree.
The given expression is a sum of $(1)$ and $(-4x)$, two monomials.
The first has degree $0$, and the second has degree $1$.
This is a polynomial of degree $1$.