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DrDelMath

Intermediate Algebra 4th Edition

by

K. Elayn Martin-Gay

Chapter Summary

Chapter 5: Exponents, Polynomials, and Polynomial Functions

Section 5.1: Exponents and Scientific Notation

Exponential Expressions: Definitions


 

Section 5.2: More Work with Exponents and Scientific Notation

 

Section 5.3: Polynomials and Polynomial Functions

Polynomial: Terms: Introduction


 

Polynomial: Introduction


 

Section 5.4: Multiplying Polynomials

Polynomial: Arithmetic


 

Section 5.5: The Greatest Common Factor and Factoring by Grouping

Polynomial: GCF of Terms

When used as a noun the word factor refers to the individual parts of a product. When used as a verb (to factor) it means to write something as a product.

In many situations recognizing the number 136 as the product of 8 and 17 is a benefit. In such situations it is customary to claim that to factor 136 as (8)(17) is a simplification. In the same way factorizations of polynomials is usually a simplification. There are several methods for factoring polynomials. No single one of these methods is sufficient for all occasions, but in combination they can yield a factored (simplified) form of seemingly complex polynomials.

The very first step when factoring any polynomial is to identify the GCF of the terms of the polynomial and to write the polynomial as a product with the GCF as one of the factors. The Distributive Property is used to verify that the factorization is correct. A common phrase used to refer to this procedure is "to factor out the GCF".


 

Section 5.6: Factoring Trinomials

Polynomial: Trinomial: Factoring: Easy


 

Polynomial: Trinomial: Factoring: Hard


 

Section 5.7: Factoring by Special Products

Polynomial: Trinomial: Factoring: Special Products


 

Section 5.8: Solving Equations by Factoring and Problem Solving

Equations: Solving Equations in One Variable by Factoring

 

 

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