The degree of a polynomial is the highest mononomial exponent that appears in its terms.
For example, if x^7 is the highest exponent term in a polynomial then its degree is 7; likewise, in 34x^2-3x the polynomial degree is 2 because it is the highest exponent.
Having all of that in mind, let us look at the polynomials we are given and try to determine their degree.
a) 2^2 + 7 + 10
The highest exponent term is 2^2; therefore, this is a polynomial of degree 2.
b) 7^5 + 10^ + 19
The highest exponent term is 7^5; therefore, this is a polynomial of degree 5.
c) ^2 − 5^10 + 100
The highest exponent term is -5x^10; therefore, the degree of this polynomial is 10.
d) 11^2 + 13 − 11^2 + 150
The highest exponent terms is x^2; therefore, this polynomial is of degree 2.