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Category: Business and Industry
Date Submitted: 02/16/2013 07:13 AM
6
Factoring Polynomials
and Solving Equations
6.1 Introduction to
Factoring
6.2 Factoring Trinomials I
(x 2
bx
c)
6.3 Factoring Trinomials II
(ax2
bx
c)
6.4 Special Types of
Factoring
6.5 Summary of Factoring
6.6 Solving Equations by
Factoring I (Quadratics)
6.7 Solving Equations by
Factoring II (Higher
Degree)
What we see depends
mainly on what we look
for.
—JOHN LUBBOCK
M
ost cars are designed so that their exteriors are curved and smooth. This characteristic is especially true for solar cars. In fact, a side view of a solar car often resembles the cross section of an airplane wing, as illustrated in the accompanying figure. This
design reduces drag from air resistance and increases fuel efficiency.
Views of a Solar Car and a Standard Car
ISBN 1-256-49082-2
Mathematics plays an important role in the design of cars. Third-degree polynomials
called cubic splines are used extensively by engineers to obtain a smooth shape for new
cars. Although the topic of cubic splines is covered in advanced mathematics and engineering courses, in this chapter we introduce many concepts necessary for understanding
polynomials and polynomial equations.
Source: R. Burden and J. Faires.
Numerical Analysis.
359
Beginning and Intermediate Algebra with Applications & Visualization, Third edition, by Gary K. Rockswold and Terry A. Krieger. Published by Addison Wesley.
Copyright © 2013 by Pearson Education, Inc.
360
CHAPTER 6 F ACTORING POLYNOMIALS AND SOLVING EQUATIONS
6.1
Introduction to Factoring
Basic Concepts ● Common Factors ● Factoring by Grouping
A LOOK INTO MATH N
Polynomials are frequently used in applications to approximate data and to model such
things as changes in the weather, sales of a new video game, and the growth of young children. As a result, scientists and mathematicians commonly solve equations involving polynomials. One way to solve these equations is to use factoring. In this section we introduce
two basic methods of factoring polynomials.
Basic...