State the degree of the following polynomial 9x^4y^3+6xy-3y

Answer 1

This is a polynomial
9x^4y^3+6xy-3y

These are the terms of the polynomial
9x^4y^3
6xy
-3y

x, y are the variables of the first term.

4 is the degree of x in the first term, and
3 is the degree of y in the first term.

Therefore the degree of the first term
9x^4y^3
is the sum of the degrees of all the variables of the term (x and y) = 4+3=7

The degree of the polynomial is the highest degree among all the terms.
So you need to calculate the degree of each term, the highest degree is the degree of the polynomial.