Final answer:
The degree of the constant polynomial -57 is 0 because it does not have any variables, which implies an exponent of 0 on the variable.
Step-by-step explanation:
To determine the degree of the polynomial -57, it is important to recognize that this numerical expression represents a polynomial where all variables have an exponent of 0. This is because any number by itself can be thought of as that number times a variable to the power of 0, as any number to the power of 0 is 1.
In this case, -57 can be viewed as -57×x^0. Therefore, the degree of the polynomial is 0. This is because the highest exponent on any variable in the polynomial is 0 (since there are no variables, this is implied).
A polynomial with degree 0 is also known as a constant polynomial because it does not change value for different values of the variable, similar to a constant.