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messersmith_power_introductory_algebra_1e_ch4_7_10

Read Sections 7.1–7.6, and complete the exercises. Complete the Chapter Review and Chapter Test. How did you do? • After completing the emPOWERme exercise, explain what steps you can take to enroll in programs and courses that are of the most interest to you. • Explain the similarities between arithmetic operations you have previously done and the new procedures you have just learned in this chapter. • How often do you apply previous situations or encounters in your own life to help you fi gure out how to approach new problems? Give an example. 7.1 The Greatest Common Factor and Factoring by Grouping What are your objectives for Section 7.1? How can you accomplish each objective? 1 Find the GCF of a Group of Monomials • Write the defi nition of a GCF in your own words. • Notice the similarities between factoring a number and fi nding the GCF, and fi nding the GCF of monomials. • Complete the given examples on your own. • Complete You Trys 1 and 2. 2 Factor Out the Greatest Common Monomial Factor • Understand that factoring a polynomial is the opposite of multiplying a polynomial. • In your notes, write the steps for factoring out the GCF in your own words. • Work the given examples on your own by applying the procedure for factoring out the GCF. • Complete You Trys 3 and 4. 3 Factor Out the Greatest Common Binomial Factor • Follow the same procedure you used for the previous examples. • Complete the examples on your own. • Complete You Try 5. 4 Factor by Grouping • Complete the examples on your own, and notice the new steps added in each example. • Complete You Trys 6–8. • Write the Procedure for Factoring by Grouping in your own words. 388 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith


messersmith_power_introductory_algebra_1e_ch4_7_10
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