Chapter 7 Plan What are your goals for Chapter 7? How can you accomplish each goal? (Write in the steps you will take to succeed.) 1 Be prepared before and during class. • • • • 2 Understand the homework to the point where you could do it without needing any help or hints. • • • 3 Use the P.O.W.E.R. framework to learn how to make good academic choices: Identify Major Attractions. • • • 4 Write your own goal. • What are your objectives for Chapter 7? How can you accomplish each objective? 1 Find the greatest common factor, and factor by grouping. • Know how to fi nd and factor out a GCF from a group of monomials or polynomials. • Understand that factoring a polynomial is the opposite of multiplying polynomials. • Learn the procedures for factoring out a GCF and factoring by grouping. 2 Learn how to factor trinomials. • Practice the arithmetic skills needed to factor trinomials. • Be able to perform the procedure for factoring any polynomial of the form x2 bx c. • Be able to perform the procedure for factoring any polynomial of the form ax2 bx c (a 1). • Understand how to factor ax2 bx c (a 1) by grouping. • Use the formulas for factoring a perfect square trinomial and the difference of two squares without needing hints. 3 Know how to solve quadratic equations by factoring. • Understand the defi nition of a quadratic equation and the zero product rule. • Learn the procedure for solving a quadratic equation by factoring. • Update the Five Steps for Solving Applied Problems and use it to solve: • Geometry problems. • Consecutive integer problems. • Pythagorean theorem problems. 4 Write your own goal. • www.mhhe.com/messersmith CHAPTER 7 Factoring Polynomials 387
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