In This Chapter
Locating the intercepts in polynomials
Figuring out where a polynomial function changes signs
Assembling all the information you need to graph a polynomial curve
Looking for roots with clues from Descartes — and others
Doing division synthetically and taking other shortcuts
Building up polynomials from their roots
A polynomial function is a well-mannered function with nice, predictable habits. The graph of a polynomial function is always a smooth curve with no abrupt changes in direction or shape. The equation of a polynomial function has only whole-number exponents on the variables.