7.2 Factoring Trinomials of the Form x2 bx c What are your objectives for Section 7.2? How can you accomplish each objective? 1 Practice Arithmetic Skills Needed for Factoring Trinomials • Follow the approach in the examples to come up with a solution. • In your notes, make a chart that summarizes the approach used in the example. • Complete the given example on your own. • Complete You Try 1. 2 Factor a Trinomial of the Form x2 bx c • Notice that the process of factoring is the opposite of multiplying. • Write the procedure for Factoring a Polynomial of the Form x2 bx c in your notes. How does it compare to the chart you made for Objective 1? • Complete the given example on your own. • Complete You Try 2. 3 More on Factoring a Trinomial of the Form x2 bx c • Add the step of “Can I factor out a GCF?” as the fi rst step in the procedure for Objective 2. • Complete the given example on your own. • Complete You Try 3. 4 Factor a Trinomial Containing Two Variables • Use the same procedure as before. • Complete the given example on your own. • Complete You Try 4. Read the explanations, follow the examples, take notes, and complete the You Trys. One of the factoring problems encountered most often in algebra is the factoring of trinomials. In this section, we will discuss how to factor a trinomial of the form x2 bx c; notice that the coeffi cient of the squared term is 1. Let’s begin with arithmetic skills we need to be able to factor a trinomial of the form x2 bx c. 1 Practice Arithmetic Skills Needed for Factoring Trinomials Find two integers whose a) product is 15 and sum is 8. b) product is 24 and sum is 10. c) product is 28 and sum is 3. EXAMPLE 1 398 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
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