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Introducing Polynomials

33 Lessons 2 hours

Expressions known as polynomials are used widely in algebra. Applications of these expressions are essential to many careers, including economists, engineers, and scientists. In this tutorial, we will find out what polynomials are and how to manipulate them through basic mathematical operations.

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Tutorial Lessons

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Introduction to Polynomials

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2

Identifying Polynomials, Monomials, Binomials, and Trinomials

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Determining the Degree of Polynomials

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4

Adding and Subtracting Monomials

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Adding and Subtracting Polynomials

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Evaluating a Polynomial for a Given Value

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7

Key Concepts and Glossary

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Simplifying Expressions with Exponents

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Simplifying Expressions Using the Product Property of Exponents

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Simplifying Expressions Using the Power Property of Exponents Continued

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Simplifying Expressions Using the Product to a Power Property

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12

Simplifying Expressions by Applying Several Properties

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13

Multiplying Monomials

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Key Concepts

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Multiplying a Polynomial by a Monomial

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Multiplying a Binomial by a Binomial

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Multiplying a Trinomial by a Binomial

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Key Concepts

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Simplifying Expressions Using the Quotient Property of Exponents

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Simplifying Expressions with Zero Exponents

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Simplifying Expressions Using the Quotient to a Power Property

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22

Simplifying Expressions by Applying Several Properties

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23

Dividing Monomials

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Key Concepts

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Using the Definition of a Negative Exponent

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Simplifying Expressions with Integer Exponents

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Converting from Decimal Notation to Scientific Notation

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Converting Scientific Notation to Decimal Form

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29

Multiplying and Dividing Using Scientific Notation

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Key Concepts

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Finding the Greatest Common Factor of Two or More Expressions

Finding the Greatest Common Factor of Two or More Expressions

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Factoring the Greatest Common Factor from a Polynomial

Factoring the Greatest Common Factor from a Polynomial

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Key Concepts

Key Concepts

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