Polynomial functions

Introduction: A function of the form $y(x)=x^k$, with $k$ a non-negative integer is called a positive integer power function. (See Positive integer power functions.)

Definition: A polynomial function is the sum of multiples of positive integer power functions.

Remark 1: The highest degree in the polynomial function is called the degree of the function.

Remark 2: The multiple of a positive integer power function is called the coefficient.

Remark 3: Constant functions, linear functions and quadratic functions are polynomial functions of degree $,$1$and$2$, respectively.$