Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 5b - Solving Quadratic Equations Mini-Lesson Problem 3 WORKED EXAMPLE – SOLVE QUADRATIC EQUATIONS BY FACTORING (GCF) Use the method discussed on the previous page, Factoring using the GCF, to solve each of the quadratic equations below. Verify your result by graphing and using the Intersection method. a) Solve by factoring: 5x 2 - 10x = 0 One way you can recognize that GCF is a good method to try is if you are given 2 terms only (called a BINOMIAL). This will be more important when we have other factoring methods to try and quadratics with more terms. Step 1: Make sure the quadratic is in standard form (check!). Step 2: Check if there is a common factor, other than 1, for each term (yes…5x is common to both terms) Step 3: Write the left side in Completely Factored Form 5x 2 - 10x = 0 (5x)(x - 2) = 0 Step 4: Set each linear factor to 0 and solve for x: 5x = 0 OR x – 2 = 0 x = 0 OR x = 2 Step 5: Verify result by graphing (Let Y1 = 5x 2 - 10x, Y2 = 0, zoom:6 for standard window then 2 nd >Calc>Intersect (two separate times) to verify solutions are x = 0 and x = 2). Step 6: Write final solutions (usually separated by a comma): x = 0, 2 b) Solve by factoring: -2x 2 = 8x Step 1: Make sure the quadratic is in standard form (need to rewrite as -2x 2 - 8x = 0) Step 2: Check if there is a common factor, other than 1, for each term (yes…-2x is common to both terms – note that you can also use 2x but easier to pull the negative out with the 2x) Step 3: Write the left side in Completely Factored Form -2x 2 - 8x = 0 (-2x)(x + 4) = 0 Step 4: Set each linear factor to 0 and solve for x: -2x = 0 OR x + 4 = 0 x = 0 OR x = -4 Step 5: Verify result by graphing (Let Y1 = -2x 2 - 8x, Y2 = 0, zoom:6 for standard window then 2 nd >Calc>Intersect (two separate times) to verify solutions are x = 0 and x = -4). Step 6: Write final solutions (usually separated by a comma): x = 0, -4 Scottsdale Community College Page 214 Intermediate Algebra
Lesson 5b - Solving Quadratic Equations Mini-Lesson Problem 4 MEDIA EXAMPLE–SOLVE QUADRATIC EQUNS BY TRIAL/ERROR FACTORING Use the Trial and Error Factoring Method to solve each of the quadratic equations below. Verify your result by graphing the quadratic part of the equation and looking at where it crosses the x- axis. a) Solve x 2 + 3x + 2 = 0 b) Solve x 2 – x – 6 = 0 c) Solve 2x 2 – 5x – 3 = 0 Scottsdale Community College Page 215 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 4b - More on Logarithms This
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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