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Ch 27: MTTC Mathematics (Elementary): Properties of Polynomial Functions

About This Chapter

Don't go in to take the MTTC Mathematics (Elementary) Test without reviewing these study guide chapters first, like this one about the properties of polynomial functions. Commit the keywords from the transcripts to memory as you cram for the test.

MTTC Mathematics (Elementary): Properties of Polynomial Functions - Chapter Summary

The MTTC Mathematics (Elementary) Test will challenge you to prove how well you understand the main fields of mathematics, and the best way to go into the test is to have all of the key facts, figures, and equations fresh in your mind. Reviewing this chapter about the properties of polynomial functions will help you recall essential topics that are sure to be addressed on the test, such as the following:

  • The major properties of polynomial functions
  • Steps for factoring and simplifying
  • The relationship between exponentials and polynomial functions
  • Performing basic mathematical processes with polynomials
  • Polynomial equations with multiple variables
  • Long division steps for polynomials
  • Synthetic division procedures for polynomials
  • Four of the major theorems associated with polynomials
  • Basic polynomial graphs and transformations

Don't let the wealth of information overwhelm you. Yes, you have a lot to review to get everything into your active memory banks, but overloading your brain will most likely lead to burnout. That's why our instructors analyzed the MTTC Mathematics (Elementary) Test. They then split the information into topic-specific chapters. Even the chapters are separated into several mini-lessons, such as how to solve polynomials with the factor or remainder theorems. The way we structure our materials lets you feel in control. You can watch and read everything we offer, or you can skip around to the least familiar topics first.

11 Lessons in Chapter 27: MTTC Mathematics (Elementary): Properties of Polynomial Functions
Test your knowledge with a 30-question chapter practice test
Polynomial Functions: Properties and Factoring

1. Polynomial Functions: Properties and Factoring

Everything from projectile motion to trigonometric functions can be described by polynomials. Review factoring, polynomials and quadratic functions in this lesson.

Polynomial Functions: Exponentials and Simplifying

2. Polynomial Functions: Exponentials and Simplifying

How do we keep track of a rapidly multiplying population of bunnies? Well, those are simply powers of 2. Review powers and simplify problems with exponents in this lesson.

How to Add, Subtract and Multiply Polynomials

3. 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!

Operations with Polynomials in Several Variables

4. 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.

How to Divide Polynomials with Long Division

5. How to Divide Polynomials with Long Division

Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!

How to Use Synthetic Division to Divide Polynomials

6. How to Use Synthetic Division to Divide Polynomials

Synthetic division is a 'short-cut' way of dividing a polynomial by a monomial. You still need to know long division, sorry, but this method is way fun when you're dividing by a monomial!

Remainder Theorem & Factor Theorem: Definition & Examples

7. Remainder Theorem & Factor Theorem: Definition & Examples

In this lesson, you will learn about the remainder theorem and the factor theorem. You will also learn how to use these theorems to find remainders and factors of polynomials.

Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

8. Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

After completing this lesson, you will know what the rational zeros theorem says. You will also know how to apply this theorem to find zeros of polynomial functions.

Fundamental Theorem of Algebra: Explanation and Example

9. Fundamental Theorem of Algebra: Explanation and Example

In this lesson, you will learn what the Fundamental Theorem of Algebra says. You will also learn how to apply this theorem in determining solutions of polynomial functions.

Understanding Basic Polynomial Graphs

10. Understanding Basic Polynomial Graphs

This lesson will cover understanding basic polynomial graphs. The lesson focuses on how exponents and leading coefficients alter the behavior of the graphs.

Basic Transformations of Polynomial Graphs

11. Basic Transformations of Polynomial Graphs

The basic transformations for a graph are movement up and down, left and right, pinched or stretched graphs, and flipped graphs. This lesson will review how to accomplish each of these transformations.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the MTTC Mathematics (Elementary) (089): Practice & Study Guide course

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