R3) Would you be able to do these problems without looking back in the sections? R4) Which exercises in this section do you fi nd most challenging? R1) Are you able to write down the factoring methods without using your notes? R2) Do you need four terms to be able to factor by grouping? 7.4 Solving Quadratic Equations by Factoring What are your objectives for Section 7.4? How can you accomplish each objective? 1 Solve a Quadratic Equation of the Form ab 0 • Learn the defi nition of a quadratic equation. • Learn the zero product rule. • Check your answers. • Complete the given example on your own. • Complete You Try 1. 2 Solve Quadratic Equations by Factoring • Know how to write a quadratic equation in standard form. • Learn the procedure for Solving a Quadratic Equation by Factoring. • Complete the given examples on your own. • Complete You Trys 2 and 3. 3 Solve Higher Degree Equations by Factoring • Be able to recognize a higher degree equation. • Follow the same procedure for Solving a Quadratic Equation by Factoring. • Complete the given example on your own. • Complete You Try 4. Read the explanations, follow the examples, take notes, and complete the You Trys. In Section 2.1 we began our study of linear equations in one variable. A linear equation in one variable is an equation that can be written in the form ax b 0, where a and b are real numbers and a 0. In this section, we will learn how to solve quadratic equations. Definition A quadratic equation can be written in the form ax2 bx c 0, where a, b, and c are real numbers and a 0. 392 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
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