Question 297171
The degree is the exponent which is also called the power.

-9x^3+5x^2+5x+4

The degree of the first term is 3. 
The degree of the second term is 2 
The degree of the third term is 1. 
the degree of the forth term is 0.
The degree of the polynomial is 3.  In other words, this is polynomial of third degree.