Precalculus: Polynomial Functions and Rational Inequalities

This precalculus course provides you with in-depth examples on how to solve a polynomial equation or to find its zeros and helps you understand what a polynomial function is. Before writing its terms in descending order, it is important to understand the other kinds of text that can be used for formatting and the different usable list items. The course takes you through how to determine the degree together with the specific names that can be used for classifying a variety of polynomial functions. It introduces you to the steps involved in identifying the domain and range of a polynomial function. 

If you want to learn the factor theorem that can be used to identify the degree of a polynomial and determine the number of roots, then sign up. You will work through the process of investigating the four possible end behaviours of a polynomial function as the independent variable approaches positive or negative infinity. Also, this course will help you understand the steps needed to graph a polynomial function, identify the degree, determine the maximum number of turning points, and find the intercepts. Do you know that multiplicity of a root can be used to determine the equation of a polynomial function? The material also describes conjugate root theorems, as well as how to find the domain with the range of various rational functions. It explains the x- and y-intercepts of a graph of a polynomial function and the higher degree polynomial functions. Moreover, it will clarify your understanding of the y-intercept of the fourth-degree polynomial function.

You will also learn how factoring and number line analysis can be useful to solve polynomial inequalities. This course will take you through how to solve the polynomial inequalities algebraically and graphically. You will also learn the methods that can be used to find vertical asymptotes for rational functions. Do you know there are methods that can be used to find horizontal and oblique or slant asymptotes for rational functions? The material will help you get a better understanding of the six-step process, SEPIA (simulation-based evaluation of prIoritization algorithms) , used for graphing rational functions and other types of functions. This course will explain in detail how the condensed method can be used for dividing a polynomial of degree greater than 1 by a binomial factor. This free online course will be of great interest to advanced math students and anyone studying precalculus in preparation for doing calculus. Register for free and start your next learning journey today!