Question

Identify the degree of the polynomial 6xy^2 - xy + 8 + 12y

Answer 1

The degree of this polynomial is 3.

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:

`6xy^2 - xy + 8 + 12y`

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:
`6xy^2`

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

Therefore, the degree of this polynomial is 3.