About This Chapter
Polynomials, Rational Equations & Trigonometric Equations - Chapter Summary
This chapter focuses on the uses of polynomials, rational equations and trigonometric equations. You will have the opportunity to review the steps involved with solving these problems at different levels of complexity. Our video lessons will help ensure you can:
- Understand terminology associated with polynomial functions
- Perform operations with polynomials, polynomials with several variables and higher-degree polynomials
- Solve problems that involve rational equations
- Find X in a trigonometric equation
- Solve trigonometric equations with identities and inverses, restricted domains and infinite solutions
- Recognize properties of inverse trigonometric functions
You can take the quizzes in this chapter to make certain you can find solutions to these mathematics problems. The quizzes link back to the lesson they are associated with, allowing you to review any steps you need further instruction to understand.
1. Terminology of Polynomial Functions
After watching this video lesson, you will be able to understand and use the words associated with polynomial functions like a pro. You will see words, such as leading coefficient, and you will immediately know what it is referring to.
2. How to Add, Subtract and Multiply Polynomials
Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!
3. Operations with Polynomials in Several Variables
In this video lesson, you will learn how to handle and work with polynomials that have more than one variable. This is important because in math you sometimes have to work with several variables at the same time.
4. Solving Higher Degree Polynomials
After watching this video lesson, you will be able to solve polynomials where the degree is three or higher. Learn the technique that you can use to solve any one of these polynomials.
5. How to Solve a Rational Equation
A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!
6. Solving Problems Using Rational Equations
Follow the steps you will learn in this video lesson to help you solve rational equation problems. See how the process turns what looks like a huge problem into a much simpler and easier to manage problem.
7. Solve Trigonometric Equations with Identities & Inverses
After watching this video lesson, you will be able to solve trigonometric equations by making use of trigonometric identities and inverses. Learn the steps to take to get to your solution.
8. How to Solve Trigonometric Equations for X
Adding trigonometric functions into standard algebra equations adds complexity. Learn how to solve trigonometric equations for x and how to use inverse operations to simplify equations.
9. Properties of Inverse Trigonometric Functions
After watching this video lesson, you will understand why our inverse trigonometric functions have a limited range. Learn what this does. Also learn the notation for these functions.
10. Solving Trigonometric Equations with Restricted Domains
After watching this video lesson, you will be able to find the right answer for a trigonometric equation with a restricted domain. Learn what it means to have a restricted domain and what you need to do to find your answer.
11. Solving Trigonometric Equations with Infinite Solutions
Watch this video lesson and you will learn that all trigonometric equations have an infinite set of solutions. But you will also see that we can still go ahead and solve our equations and find concrete answers.
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Other chapters within the MTTC Professional Readiness Examination (096): Practice & Study Guide course
- Basic Number Sense
- Fundamentals of Calculation
- Mathematical Reasoning & Problem-Solving
- Logic in Mathematics
- Expressions, Functions & Operations
- Expressions & Equations in Algebra
- Understanding Algebraic Functions
- Using Algebraic Functions
- Introduction to Basic Geometry
- Measuring Geometric Figures
- Relationships Between Figures in Geometry
- Basics of Trigonometry
- Fundamentals of Statistics
- Bivariate Relationships in Statistics
- Using Tables & Graphs
- Interpreting Statistical Data
- Probability Overview
- Introduction to Conditional Probability & Diagrams
- Structure, Analysis & Word Meanings in English
- Literary Themes & Main Ideas
- Strategies for Effective Writing
- Reading Strategies & Literary Analysis
- Critical Reasoning for Test-Taking
- Conventions in Writing: Effective Usage
- Constructing Sentences & Paragraphs
- Argumentative Writing Overview
- Structuring Informational & Explanatory Texts
- MTTC Professional Readiness Flashcards