Ch 12: FTCE Math: Polynomials

About This Chapter

You've come to the right place for an effective and painless review of the content centered on polynomials that you may encounter within the FTCE Math exam. Refresh your memory by watching short, simple-to-follow video lessons.

FTCE Math: Polynomials - Chapter Summary

This chapter explores a variety of key subject matter to know dealing with polynomials in math, covering all the pertinent topics you'll want to brush up on before your FTCE Math test, including:

  • The binomial theorem
  • Evaluating a polynomial in function notation
  • Dividing polynomials with long division
  • How synthetic division is used to divide polynomials
  • Using quadratic form to factor polynomials
  • Writing polynomial equations with rational and complex zeros
  • The factor theorem and remainder theorem
  • The rational zeros theorem
  • The fundamental theorem of algebra
  • Different transformations of polynomial graphs

You can easily return to any specific video segments for further review using the video tags. Take the short practice quizzes that follow the lessons to make sure you have a solid grasp of the polynomials subject matter in this chapter.

11 Lessons in Chapter 12: FTCE Math: Polynomials
Test your knowledge with a 30-question chapter practice test
What is the Binomial Theorem?

1. What is the Binomial Theorem?

While the F.O.I.L. method can be used to multiply any number of binomials together, doing more than three can quickly become a huge headache. Luckily, we've got the Binomial Theorem and Pascal's Triangle for that! Learn all about it in this lesson.

How to Evaluate a Polynomial in Function Notation

2. How to Evaluate a Polynomial in Function Notation

This lesson will review how to evaluate polynomials in function notation. Along with an analogy to explain the process, examples will be given and worked during the lesson.

How to Divide Polynomials with Long Division

3. 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

4. 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!

Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

5. Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

Factoring a polynomial of degree 4 or higher can be a difficult task. However, some polynomials of higher degree can be written in quadratic form, and the techniques used to factor quadratic functions can be utilized.

Using Rational & Complex Zeros to Write Polynomial Equations

6. Using Rational & Complex Zeros to Write Polynomial Equations

In this lesson, you will learn how to write a polynomial function from its given zeros. You will learn how to follow a process that converts zeros into factors and then factors into polynomial functions.

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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the FTCE Mathematics 6-12 (026): Practice & Study Guide course

Support