Chapter 7

messersmith_power_introductory_algebra_1e_ch4_7_10

CHAPTER Factoring Polynomials 7 Math at Work: Ophthalmologist Mark Diamond is an ophthalmologist, a doctor specializing in the treatment of diseases of the eye. In medical school, he acquired a great deal of knowledge about human anatomy and about the anatomy of the eye in particular. Yet Mark also says he could not do his job without his background in mathematics. He explains that, in addition to the mathematical formulas he uses on a daily basis, the thinking he learned in math courses is invaluable to his work. As a physician, Mark follows a very logical, analytical progression to form an accurate diagnosis and treatment plan. He examines a patient, performs tests, and then analyzes the results to settle on a diagnosis. Next, he thinks of different ways to solve the medical problem and decides on the course of treatment that is best for that patient. He says that this sort of careful, organized approach is precisely how he learned to deal with diffi cult math problems. Factoring, for example, requires the ability to think through and solve a problem in a thoughtful and logical manner— the same methods Mark applies in treating his patients. In this chapter, we will learn different techniques for factoring polynomials. We also introduce strategies you can use to help you make important decisions in your academic career. 385 OUTLINE Study Strategies: Making Academic Choices 7.1 The Greatest Common Factor and Factoring by Grouping 7.2 Factoring Trinomials of the Form x2 bx c 7.3 Factoring Trinomials of the Form ax2 bx c (a 1) 7.4 Factoring Special Trinomials and Binomials Putting It All Together 7.5 Solving Quadratic Equations by Factoring 7.6 Applications of Quadratic Equations Group Activity emPOWERme: Identify Major Attractions


messersmith_power_introductory_algebra_1e_ch4_7_10
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