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.