Answer
degree: $3$ and it is cubic.
Work Step by Step
A polynomial function is in the form $a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ where $a_n\ne0$, the coefficients are real, and $n$ is a non-negative integer. Then $a_n$ is the leading coefficient, and $n$ is the degree.
Hence here the degree is: $3$ and it is cubic.