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Precalculus; Polynomial Functions and Rational Inequalities

A free online course on how to solve a polynomial equation and how to use factoring and number line analysis tools.

Publisher: ADU
This free online course will teach you how to solve a polynomial equation or to find its zeros, as well as the important definition of a polynomial function. You will learn how to how to determine the degree together with the specific names that can be used for classifying a variety of polynomial functions. If you want to develop your skills in precalculus polynomial and rational inequalities analytical concepts, then this course is for you.
Precalculus; Polynomial Functions and Rational Inequalities
  • Duration

    5-6 Hours
  • Students

    9
  • Accreditation

    CPD

Description

Modules

Outcome

Certification

View course modules

Description

Precalculus; Polynomial Functions and Rational Inequalities is a free online course that aims to provide you with in-depth illustrations on how to solve a polynomial equation or to find its zeros. The course explains the important definition of a polynomial function. 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 useable list items. This course will take you through how to determine the degree together with the specific names that can be used for classifying a variety of polynomial functions. This course introduces you to the steps involved in identifying the domain and range of a polynomial function. Have you considered the comparison of polynomials of odd degree and how even degree can be used to predict the general behaviour of the graph? This course will teach you some of the ways to solve a polynomial equation or to find its zeros, together with the fundamental theorem of algebra.

If you want to learn the factor theorem that can be used in identifying the degree of a polynomial and determining the number of roots, then sign up for this course. You will be able to examine 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 course also describes conjugate root theorems, as well as how to find the domain with the range of various rational functions. This course explains the x- and y-intercepts of a graph of a polynomial function and the higher degree polynomial functions. Moreover, this course seeks to clarify any challenges you may face in understanding the y-intercept of the fourth-degree polynomial function.

Furthermore, you will also learn how factoring and number line analysis can be useful tools in solving 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 the methods that can be used to find horizontal and oblique or slant asymptotes for rational functions? This course will help you get a better understanding of the 6-step process, SEPIA, 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 will be of great interest to students, researchers, and anyone with an interest in precalculus; polynomial functions and rational inequalities. Register for this course and start your next learning journey today!

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