Respuesta :

Answer:

The degree of this polynomial is 3.

Step-by-step explanation:

The degree of a polynomial is the highest degree of its  individual terms (also known as the monomials) which have a  non-zero coefficient.

Here in this case, we have the following polynomial:

[tex]6xy^2 - xy + 8 + 12y[/tex]

Each term has degree equal to the sum of the exponents on the variables. So for a term with two variables has the highest degree: [tex]6xy^2[/tex]

1 for x and 2 for y: 1 + 2 = 3

Therefore, the degree of this polynomial is 3.