## Precalculus (10th Edition)

The given expression is a polynomial of degree $3$.
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 either a single monomial or a SUM of several monomials. The degree of the polynomial is the degree of the monomial with the highest degree. $2y^{3}$ is a monomial of degree $3$, $-\sqrt{2}=-\sqrt{2}\cdot y^{0}$ so it is a monomial of degree $0$ Their sum is a polynomial (a binomial). This is a polynomial of degree 3.