Final answer:
The degree of a polynomial function is denoted by the highest power of the variable in that polynomial, and not by the highest coefficient, the number of terms, or the sum of the coefficients. It's closely linked, but not equivalent with the concept of least value n for which successive nth differences are constant.
Step-by-step explanation:
In Mathematics, specifically in the study of polynomial functions, the degree of a polynomial is defined as the highest power of the variable(s) in the polynomial. This mathematical property is not represented by the attributes presented in the options given by a), b), or d). The closest correct statement is option c) in your question. The degree of the polynomial function is not necessarily the least value n for which successive nth differences are constant, but it is most closely related to this concept as its degree does influence the pattern of differences you'd observe.
For example, In a second-order polynomial, also known as a quadratic function, the degree is 2, because the highest power of the variable (often denoted as x) is 2. In a quadratic function such as y = 3x^2 + 2x + 1, the '2' in 3x^2 represents the highest power and, therefore, represents the degree of the polynomial.
Learn more about Degree of a Polynomial