state the degree of the following polynomial : 2x^3y+7xy-9y
To determine the degree of a polynomial, we need to find the highest power of the variable in the polynomial.
In the given polynomial 2x^3y + 7xy - 9y, we can see that the highest power of x is 3. Therefore, the degree of the variable x in the polynomial is 3.
Note that in this polynomial, the variable y does not have an exponent explicitly written. When a variable has no exponent written, it is assumed to have an exponent of 1. So, the highest power of y in this polynomial is 1.
Therefore, the degree of the given polynomial is 3 for x and 1 for y.