Focus On Curves and Surfaces (Focus on Game Development)

What Is a Polynomial?

I have defined a curve as the graph of a function, so I should begin by defining a polynomial function.

At this point, even my chance of receiving Christmas cards from the mathematicians is pretty low. To put it another way, this means it takes the following form:

An nth degree polynomial function is defined as a series of n powers of one or more variables multiplied by constant coefficients.

This shows that the degree of the polynomial is the value of the highest exponent. Remember, some of the coefficients can be zero; this does not affect the degree. Therefore, the two following equations are both fourth-degree polynomials .

According to my definitions, a polynomial curve is a graph of a polynomial function. The remainder of the chapters will focus on the properties of curves of different degrees. The simplest polynomial function is a first-degree polynomial known to its friends as a line.