# Ch 19: MTEL Middle School Math/Science: Polynomials

### About This Chapter

## MTEL Middle School Math/Science: Polynomials - Chapter Summary

From our expert instructors, you can learn more about the process of solving equations with polynomials. Once you've watched this chapter's video lessons, you should be prepared for exam questions on the Massachusetts Test for Educator Licensure (MTEL) Mathematics/Science (Middle School) about:

- Polynomials, binomials and quadratics
- Adding and subtracting polynomials
- Multiplying and dividing polynomials

In addition to animated videos, the chapter includes lesson transcripts that you can read through at your own pace. Quizzes can help you assess your level of learning and built-in video tags allow you to locate information that you want to study further.

### MTEL Middle School Math/Science: Polynomials Objectives

The MTEL Mathematics/Science (Middle School) is a computer-based certification exam that asks 100 multiple-choice and two constructed-response questions. On test day, you will be asked to complete these questions in a four-hour session. Around 12% of your score will be based on your understating of patterns, relations and algebra. Expect some of these questions to ask you to solve problems with polynomials.

### 1. What are Polynomials, Binomials, and Quadratics?

What do polynomials, binomials, and quadratics have in common? What are their differences? How can you identify each of them? Watch this video lesson to find the answers.

### 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. 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!

### 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!

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### Other Chapters

Other chapters within the MTEL Mathematics/Science (Middle School)(51): Practice & Study Guide course

- MTEL Middle School Math/Science: Number Structure
- MTEL Middle School Math/Science: Absolute Value
- MTEL Middle School Math/Science: Numerical & Algebraic Properties
- MTEL Middle School Math/Science: Properties of Equality & Inequality
- MTEL Middle School Math/Science: Mathematical Operations
- MTEL Middle School Math/Science: Introduction to Fractions
- MTEL Middle School Math/Science: Operations with Fractions
- MTEL Middle School Math/Science: Decimals & Decimal Operations
- MTEL Middle School Math/Science: Percents
- MTEL Middle School Math/Science: Ratios, Proportions & Rate of Change
- MTEL Middle School Math/Science: Estimation in Math
- MTEL Middle School Math/Science: Real Numbers
- MTEL Middle School Math/Science: Exponents
- MTEL Middle School Math/Science: Roots & Powers
- MTEL Middle School Math/Science: Algebra Basics
- MTEL Middle School Math/Science: Principles of Algebra
- MTEL Middle School Math/Science: Functions
- MTEL Middle School Math/Science: Linear Equations
- MTEL Middle School Math/Science: Quadratic Equations
- MTEL Middle School Math/Science: Vectors in Linear Algebra
- MTEL Middle School Math/Science: Matrices in Linear Algebra
- MTEL Middle School Math/Science: Sequences & Series
- MTEL Middle School Math/Science: Measurement
- MTEL Middle School Math/Science: History of Geometry
- MTEL Middle School Math/Science: Geometric Properties & Theorems
- MTEL Middle School Math/Science: Principles of Geometry
- MTEL Middle School Math/Science: Algebraic Applications in Geometry
- MTEL Middle School Math/Science: Area, Perimeter & Volume
- MTEL Middle School Math/Science: Using Trigonometric Functions
- MTEL Middle School Math/Science: Trigonometric Graphs
- MTEL Middle School Math/Science: Solving Trigonometric Equations
- MTEL Middle School Math/Science: Trigonometric Identities
- MTEL Middle School Math/Science: Trigonometric Applications
- MTEL Middle School Math/Science: Types of Data
- MTEL Middle School Math/Science: Probability & Statistics
- MTEL Middle School Math/Science: Conditional & Independent Probability
- MTEL Middle School Math/Science: Probability & Statistics Calculations
- MTEL Middle School Math/Science: Basics of Logic
- MTEL Middle School Math/Science: Foundations of Science
- MTEL Middle School Math/Science: Scientific Research
- MTEL Middle School Math/Science: The Scientific Method
- MTEL Middle School Math/Science: Data Collection
- MTEL Middle School Math/Science: Analyzing Scientific Data
- MTEL Middle School Math/Science: Laboratory Procedures & Safety
- MTEL Middle School Math/Science: Experimental Chemistry
- MTEL Middle School Math/Science: Matter
- MTEL Middle School Math/Science: Inorganic Chemistry
- MTEL Middle School Math/Science: Measurement & Problem Solving
- MTEL Middle School Math/Science: Atomic Structure
- MTEL Middle School Math/Science: The Periodic Table
- MTEL Middle School Math/Science: Chemical Bonding
- MTEL Middle School Math/Science: Phase Changes for Liquids & Solids
- MTEL Middle School Math/Science: Solutions in Chemistry
- MTEL Middle School Math/Science: Stoichiometry & Chemical Equations
- MTEL Middle School Math/Science: Acids, Bases & Reactions
- MTEL Middle School Math/Science: Equilibrium
- MTEL Middle School Math/Science: Chemical Kinetics
- MTEL Middle School Math/Science: Thermodynamics in Chemistry
- MTEL Middle School Math/Science: Newton's First Law of Motion
- MTEL Middle School Math/Science: Newton's Second Law of Motion
- MTEL Middle School Math/Science: Newton's Third Law of Motion
- MTEL Middle School Math/Science: Force & Motion
- MTEL Middle School Math/Science: Wave Behavior
- MTEL Middle School Math/Science: Waves, Sound & Light
- MTEL Middle School Math/Science: Energy
- MTEL Middle School Math/Science: Electricity
- MTEL Middle School Math/Science: Magnetism & Electromagnetism
- MTEL Middle School Math/Science: Cells & Living Things
- MTEL Middle School Math/Science: Cell Division
- MTEL Middle School Math/Science: Genetics & Heredity
- MTEL Middle School Math/Science: DNA
- MTEL Middle School Math/Science: Genetic Mutations
- MTEL Middle School Math/Science: Origin & History of the Earth
- MTEL Middle School Math/Science: Ecosystems
- MTEL Middle School Math/Science: Evolving Ecosystems
- MTEL Middle School Math/Science: Rocks, Minerals & Soil
- MTEL Middle School Math/Science: Forces that Change the Earth's Surface
- MTEL Middle School Math/Science: Earth's Hydrosphere
- MTEL Middle School Math/Science: Structure of the Earth's Atmosphere
- MTEL Middle School Math/Science: Earth's Atmosphere, Weather & Climate
- MTEL Middle School Math/Science: Solar System
- MTEL Middle School Math/Science: Characteristics of the Universe
- MTEL Mathematics/Science (Middle School) Flashcards