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Ch 10: NYSTCE Mathematics: Polynomial Functions

About This Chapter

Smartly get ready for the NYSTCE Mathematics exam by using this chapter to study. It contains insightful details about polynomial functions, a topic that will be covered on the exam.

NYSTCE Mathematics: Polynomial Functions - Chapter Summary

Refresh your knowledge of polynomial functions before you take the NYSTCE Mathematics exam. In order to properly work with polynomial functions, you can go through the lessons in this chapter. They will help you learn more about:

  • Properties and factoring of polynomial functions
  • Exponentials and simplifying polynomial functions
  • Dividing polynomials with synthetic and long division
  • The remainder theorem and the factor theorem
  • An explanation of the Fundamental Theorem of Algebra
  • Basic polynomial graphs and their possible transformations

In order to truly understand different theorems and principles of polynomial functions, you can utilize our resources. They will help you fully prepare for the exam, and they feature a video format. As a result, learning can be fun. After completing this chapter, take advantage of our self-assessment quizzes and end-of-chapter exam. They were created so you can assess your knowledge and skills, helping you determine if you are ready for the exam or not.

10 Lessons in Chapter 10: NYSTCE Mathematics: 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 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!

Dividing Polynomials with Long and Synthetic Division: Practice Problems

5. Dividing Polynomials with Long and Synthetic Division: Practice Problems

Let's look at some more polynomial division problems. We will use long division and synthetic division, but this time we will have a couple of more involved problems. So, get out some paper and a pencil and let's begin!

Remainder Theorem & Factor Theorem: Definition & Examples

6. 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

7. 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

8. 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

9. 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

10. 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.
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Other Chapters

Other chapters within the NYSTCE Mathematics (004): Practice & Study Guide course

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