Question

What is the degree and classification or the following 8x^2y + 5xy

Answer 1

I believe the degree of this is 3, assuming that y isn't part of the exponent, and this is a binomial because it has 2 terms.

Answer 2

You need to look at each term and find the degree by adding the exponents of each variable in it. The largest degree is the degree of the polynomial.

8x²y has a degree of 3 (x has an exponent of 2, y has 1, and 2+1=3)
5xy has a degree of 2 (x has an exponent of 1, y has 1, and 1 + 1 = 2)
So, degree = 3       

The polynomial has 2 terms, so it's binomial  ← classification