41. Algebra:Solving Equations - Wikibooks Factorization is the most common way to solve quadratic equations. Retrieved from http//en.wikibooks.org/wiki/AlgebraSolving_equations http://en.wikibooks.org/wiki/Algebra:Solving_equations

Algebra:Solving equations From Wikibooks Contents Quadratic equations Factorization Completing the square Quadratic Formula ... edit Quadratic equations Up to now you have only dealt with equations and expressions involving just x; in this section we'll move onto solving things which have x in them. All quadratic equations can be arranged in the form , and a b c are all constants. Now let's look at some examples: Examples: Rearrange the following equations in the form a x b x c Solution for Solution for Note that in the last step, both sides are multiplied by -1, to make the term positive, so that the solving of the equation would be easier. edit Factorization Factorization is the most common way to solve quadratic equations. Let us consider again the first example above: x x x We have already simplified the equation into x x Now, we want to factorize the equation - that is to say, get it into a form such as: x + something)( x + something) = Look at the number term c. In this example, it is -3. Now, think what two numbers will multiply together to give -3. Either 3 and -1, or -3 and 1. But we also need to get the x term correct (here, b=2). In fact, we need our two factors of c to add together to make b. And (3)+(-1)=2. So, we have found our 'somethings': they are 3 and -1. Let's fill them in. x x Just to check, we can multiply out the brackets to check we have what we started with:

42. Algebra:Quadratic Functions - Wikibooks Some quadratic equations can be easily solved through methods we have Through some algebra, we can figure out that the original equation is equal to (x http://en.wikibooks.org/wiki/Algebra:Quadratic_functions

Algebra:Quadratic functions From Wikibooks Quadratic functions are polynomials of degree 2. Contents Formal definition Solving Quadratic Equations Simple Methods Factoring ... edit Formal definition A polynomial of the form a x b x c where a,b,c are constants, and a does not equal zero. Solving polynomials means to find a value, x , in which a x b x c equals zero. edit Solving Quadratic Equations edit Simple Methods Some quadratic equations can be easily solved through methods we have already learned. For example: Solve x This is done by dividing both sides by , which creates x . We know that both and can be squared to equal 9; therefore, our answer is: edit Factoring Factoring is probably the most common method to solve quadratic functions. The equation is first divided into two sections. For example, say, we are asked to solve the quadratic function, x x . It can also be written y x x , and you are asked to solve for when y equals zero (or to find the zero, which means the same thing). In order to solve this equation using factoring (if it is, in fact, factorable), we must find four numbers, a,b,c,d

43. College Algebra I At Bowling Green State University Solving linear and power equations using algebra. Click here to download problems Solving quadratic equations for x using a graphing calculator. http://www-math.bgsu.edu/~dalew/math112/m112_f03_quiz/quizzes.html

Math 112: College Algebra I Spring 2004 Quizzes and Quiz Practice Problems Many of the files on this site are posted in PDF format. If you have any trouble reading them, try downloading the latest version of the free Adobe Acrobat Reader software. Quiz Review Problems from Winter 2004 Problems concentrate on: Problems Solutions Optimization problems. Click here to download problems Click here to download solutions Solving quadratic inequalities. Setting up polynomial functions in word problems. Finding the maximum and minimum values of functions with the help of a graphing calculator. Click here to download problems Click here to download solutions Finding formulas for quadratic functions from graphs. Converting quadratics to standard form by FOILing and collecting like terms. The dreaded technique of Completing the Square. Click here to download problems Click here to download solutions Finding formulas for quadratic functions from graphs. Converting quadratics to standard form by FOILing and collecting like terms. Factoring quadratics. Solving quadratic equations by factoring. Click here to download problems Click here to download solutions Finding formulas for quadratic functions through regression. Finding formulas for quadratic functions (in vertex form) from graphs.

44. Algebra Area: Polynomials And Quadratic Equations UALR logo THE BASICS OF algebra Online Lectures · Supplements · Learning Tools 6.24 Roots of a quadratic Equation with Leading Coefficient 1 http://math.ualr.edu/watson/devalgebra/PolyQuad.htm

Skip Navigation How to Use this Website What is ALEKS? ALEKS Home Page THE BASICS OF ALGEBRA ALGEBRA AREAS Fundamentals Solving Linear Equations Graphing Linear Equations Sets, Relations, and Functions ... Exponentials and Logarithms Polynomials and Quadratic Equations Addition of Polynomials Multiplication of Monomials Multiplication of Two Binomials Squaring a Binomial Multiplication of Polynomials Degree of a Multivariate Polynomial Division of a Polynomial by a Binomial with no Remainder Division of a Polynomial by a Binomial with Remainder Greatest Common Factor of Two Monomials Least Common Multiple of Two Monomials Factoring a Multivariate Polynomial by Grouping: Problem Type 1 Factoring a Multivariate Polynomial by Grouping: Problem Type 2 Factoring a Quadratic Trinomial with Leading Coefficient 1 Factoring a Quadratic Trinomial with Leading Coefficient Greater than 1 Factoring a Perfect Square Completing the Square Factoring the Product of a Quadratic Trinomial with a Monomial Factoring the Difference of Two Squares Factoring the Difference of Two Fourth Powers Factoring the Sum and Difference of Two Ratio of Quadratic Polynomials: Problem Type 1 Ratio of Quadratic Polynomials: Problem Type 2 Ratio of Quadratic Polynomials: Problem Type 3 Roots of a Quadratic Equation with Leading Coefficient 1 Roots of a Quadratic Equation with Leading Coefficient Greater Than 1 Roots of a Product of Polynomials Roots of a Sum of Polynomials ... Odd-Root Property Writing a Quadratic Equation Given the Roots and the Leading Coefficient

45. SparkNotes: ACT: Intermediate Algebra In this section, we’ll present the intermediate algebra topics to you in Almost all quadratic equations appearing on the ACT can be solved by factoring. http://www.sparknotes.com/testprep/books/act/chapter10section4.rhtml

saveBookmark("", "", ""); Jump to a New Chapter Introducing the New ACT (and Ending World Hunger) General Strategies for Taking the ACT The ACT English Test Strategies for the English Test Usage/Mechanics Questions on the English Test Rhetorical Skills Questions on the English Test The New ACT Writing Test The ACT Math Test Strategies for the Math Test ACT Math Subjects The ACT Reading Test Strategies for the Reading Test Passages and Questions on the Reading Test The ACT Science Reasoning Test Strategies for the Science Reasoning Test Passages and Questions on the Science Reasoning Test Practice Tests Are Your Best Friends < return to the previous section continue to the next section >> Pre-Review Review Pre-Algebra ... Trigonometry Intermediate Algebra Intermediate algebra questions are some of the toughest questions on the ACT Math Test. To compensate for the difficulty of the topic, almost all of the intermediate algebra problems will be in basic form, meaning that you don’t need to sort through a mess of words to find the question. Also, you should be glad to hear that there will be only nine intermediate algebra problems on the Math Test, making them worth less than one-sixth of your math score. In this section, we’ll present the intermediate algebra topics to you in the following order:

46. Algebra I - Content Standards (CA Dept Of Education) 23.0 Students apply quadratic equations to physical problems, such as the motion 25.3 Given a specific algebraic statement involving linear, quadratic, http://www.cde.ca.gov/be/st/ss/mthalgebra1.asp

Search Advanced Site Map A-Z Index Professional Development ... Printer-friendly version Algebra I Grades Eight Through Twelve - Mathematics Content Standards. Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations. Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable: 1.1 Students use properties of numbers to demonstrate whether assertions are true or false. Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. Students solve equations and inequalities involving absolute values.

47. PinkMonkey.com Algebra Study Guide 4.3 Methods Of Solving Quadratic Equations PinkMonkey.comFree Online algebra Textbook and StudyGuide -The World s largest source of Free 4.3 Methods of Solving quadratic equations. Chapter 5 http://www.pinkmonkey.com/studyguides/subjects/algebra/chap4/a0404301.asp

Support the Monkey! Tell All your Friends and Teachers Free College Search Click Here Get the "Dirt" on your College! Get a Scholarship! See What's New on the Message Boards today! The Unofficial Guide to College Home ... New Title Request Win a $1000 or more Scholarship to college! Please Take our User Survey WebMasters Click Here 4.3 Methods Of Solving Quadratic Equations + bx + c into two linear factors, we can solve ax + bx + c = 0; by using the theorem, we can put either factor to zero. This is known as solution by factors. Steps : - next page Index 4.1 Theorem 4.2 Definition 4.3 Methods of Solving Quadratic Equations Chapter 5 924 PinkMonkey users are on the site and studying right now. Search: All Products Books Popular Music Classical Music Video DVD Electronics Software Outdoor Living Cell Phones Keywords:

48. Insights Into Algebra 1 . Workshop 4 In algebra 1, students explore linear functions in great detail, But quadratic equations provide more than just an opportunity for embedded review of http://www.learner.org/channel/workshops/algebra/workshop4/

Topic Overview: Quadratic functions Download the Workshop 4 Guide Quadratic functions Quadratic functions model a number of real-world situations. They describe the path of a ball in flight, represent a cross section of a headlight's reflector, and enable business people to forecast sales. Explanation Mathematical Definition Role in the Curriculum Explanation A quadratic function is a second degree equation - that is, 2 is the highest power of the independent variable. Written in standard form, the equation y = ax + bx + c (a represents quadratic functions. When graphed in the coordinate plane, a quadratic function takes the shape of a parabola. To see a parabola in the real world, throw a ball. The path the ball traces as it travels through the air - in an arc to its highest point, then back to the ground in a similar arc - is a parabola. Naturally, the ball bounces after hitting the ground, and each time it does so, it traces another parabola. In another example, suppose a builder wants to build a parking lot that is rectangular in shape and measures 250 feet around three of the four sides. Write an equation that models the area of the parking lot as a function of the width of the parking lot. Find the dimensions of a parking lot that will enclose the greatest area. If the width of the parking lot is x, then the length of the parking lot is 250 - 2x. So, the area of the parking lot can be modeled by A = (250-2x)x . A graph of the function shows that the maximum area occurs at the vertex of the parabola. This point is located at (62.5, 7812.5). This means that the width of the parking lot with the greatest area is 62.5 feet, the length is 125 feet, and the area is 7812.5 square feet.

49. Quadratic Equations (from Algebra) --  Britannica Student Encyclopedia quadratic equations (from algebra) Consider the equation x sup 2 /sup – sup + /sup 25 = 0. This equation is an example of a quadratic equation. http://www.britannica.com/ebi/article-196205

Home Browse Newsletters Store ... Subscribe Already a member? Log in This Article's Table of Contents Expand all Collapse all Introduction Basic Principles Open Sentences Variables Numbers, Numerals, and Equations Generalizations ... Products and Factoring changeTocNode('toc196199','img196199'); Quadratic Equations Solving Problems Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products algebra Student Encyclopedia Article Page 23 of 24 Consider the equation x 25 = 0. This equation is an example of a quadratic equation. The real numbers 5 and 5 both satisfy the above open sentence: The solution set of the given equation consists of simply the real numbers 5 and 5. We say that

50. Quadratic Functions (from Algebra) --  Britannica Student Encyclopedia quadratic equation in mathematics, an algebraic equation of the second quadratic equations from the algebra article Consider the equation x2 – +25 = 0. http://www.britannica.com/ebi/article-196201

Home Browse Newsletters Store ... Subscribe Already a member? Log in This Article's Table of Contents Expand all Collapse all Introduction Basic Principles Open Sentences Variables Numbers, Numerals, and Equations Generalizations ... Linear Functions changeTocNode('toc196199','img196199'); Quadratic Functions Functions of Higher Degree Properties of Exponents Products and Factoring ... Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products algebra Student Encyclopedia Article Page 19 of 24 The formula for computing the area of a rectangle is algebra... (75 of 8944 words) var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "algebra."

51. Welcome To Florida Virtual School Experience algebra II as an employee of the Functional Consulting Company. Solving quadratic equations with the quadratic formula http://www.flvs.net/students_parents/course_descr/cd_algebra2.php

Text Only Navigation About Us Educators Contact Us FLVS Login Username: Password: Passwords are case sensitive! Apply for Admissions FLVS Online FCAT Course Course Info Employment at FLVS ... Search the web Course Name Algebra II Out of State Tuition Fee Subject Mathematics Course Status N/A Out-of-State Course Status N/A Course Type Validated Course Number Honors Number Prerequisites Algebra I Credit Estimated Completion Time 2 semesters / 36 weeks Course Description Experience Algebra II as an employee of the Functional Consulting Company. A combination of business trips with the application of learned concepts will ensure your rise from Junior Associate to Senior Staff Member. Algebra II is an advanced Algebra course, required for college entry, which meets all the state, local, and NCTM (National Council of Teachers of Mathematics) Standards. The emphasis in this Algebra II course is on student success by way of varied learning styles using applications, hands-on activities, group interactions, discoveries, and, of course, technology. The Algebra II course is built so that students are promoted through a fictional company from Junior Associate to Executive Senior as they acquire Algebra II skills and knowledge.

52. Solving Quadratic Equations Completing Square You can now easily understand solving quadratic equations completing square . Here you will learn how to factor polynomials guaranteed! http://www.algebra-online.com/solving-quadratic-equations-completing-square-1.ht

Our software, Algebra Buster solves any algebra problem you enter (including all the problems found in tutorials below and much more! ). It gives you all the solution steps and clear explanations. Click here for demo or to find out more about this incredible program! Solving Quadratic Equations by Completing the Square Recall that x + 6 x + 9 is a trinomial square since ( x + 3 ) are its factors. Note that 3 is half of six. Notes on Completing the Square Completing the square is a procedure used to determine a solution of an equation by rewriting the equation as a trinomial square equal to a rational number. Steps to solving quadratic equations by completing the square: 1. Isolate the variable terms on one side of the equation. 2. Divide both sides of the equation by the coefficient of x . (This is not needed if the coefficient is 1.) 3. Determine the value needed to complete the square by dividing the coefficient of x by 2 and squaring the result. 4. Add the value obtained to both sides of the equation. 5. Rewrite the trinomial as a binomial square. 6. Use the principle of square roots to determine the possible solutions and solve.

53. The Mathematics Resource Laboratory - Elementary And Intermediate Algebra Topics Covered In Elementary algebra. equations, Inequalities Solving quadratic equations by Factoring. quadratic equations and Problem Solving. http://www.ius.edu/mathlab/courses/COMBINED/home.html

The Mathematics Resource Laboratory Indiana University Southeast Elementary Intermediate and Combined Algebra Page Lab Information Life Science Building Room 101 Phone: 941-2670 Fax: 941-2637 Open to all students with an IUS ID Coordinator: Dee Cochran, Room 010A, 941-2605 Click here to EMAIL Coordinator: Delaine E. Cochran Text: Elementary and Intermediate Algebra, A Combined Approach by J.E. Kaufmann, 4th EditionBrooks/Cole. Finals: The Departmental Final will be comprehensive over the entire course. Final reviews are on the Web.. Not Offered in Fall 2005. Exercises-Practice or ask questions online with immediate responses Algebra Tutorials Algebra Online Tutoring Instant Internet Answers to Algebra and PreAlgebra Problems Algebra Problem of the Week ... Graphing and Function Review Tutorials for specific topics History of Algebra and its Origins NASA Quick Refesher of Algebra Math.Com answers your questions Practice Algebra at QuickMath with instant responses ... Rational Expressions/Algebraic Fractions Online Quizzes Solving Linear Equations Introduction to Functions Function Operations Rational Equations and Expressions ... Operations on Functions In the Mathematics Lab Listing of Videos Available now In the Library Interact Math Secondary Math Lab Toolkit Active Algebra Tutorial Graphing Programs Interactive Algebra II (tutorials, games,and quizzes)

54. BBC - GCSE Bitesize - Maths | Algebra: Intermediate/higher | Quadratic Equations Home / maths / algebra intermediate/higher / quadratic equations expressions with negative numbers Solving quadratic equations by factorising http://www.bbc.co.uk/schools/gcsebitesize/maths/algebraih/quadraticrev1.shtml

@import url('/includes/tbenh.css') ; Home TV Radio Talk ... A-Z Index SUNDAY 25th September 2005 Text only BBC Homepage Other Sites var jsversion = 1.0; var realInstalled = false; var wmpInstalled = false; var swpInstalled = false; var xmlHTTPEnabled = false; var xslEnabled = false; jsversion = 1.1; jsversion = 1.2; jsversion = 1.3; jsversion = 1.4; jsversion = 1.5; 'For IE detection... On Error Resume Next realInstalled = (IsObject(CreateObject("rmocx.RealPlayer G2 Control"))) wmpInstalled = (IsObject(CreateObject("MediaPlayer.MediaPlayer"))) swpInstalled = (IsObject(CreateObject("SWCtl.SWCtl"))) xmlHTTPEnabled = (IsObject(CreateObject("Msxml2.XMLHTTP"))) xslEnabled = (IsObject(CreateObject("Msxml2.DOMDocument"))) Site Guide Credits About the BBC Contact Us ... Help Like this page? Send it to a friend! Home maths algebra: intermediate/higher / Quadratic equations Maths Biology Chemistry English Language English Literature French German Geography History ICT Music PE Physics Religious Studies Spanish What's an imaginary number? Find out at 5 Numbers Post ideas and check out Maths messages here.

55. MSN Encarta - Algebra Given an equation, algebra supplies solutions based on the general idea of the quadratic equations are the simplest such equations. Given any quadratic http://encarta.msn.com/encyclopedia_761552816_4/Algebra.html

MSN Home My MSN Hotmail Shopping ... Sign In Web Search: Encarta Subscriber Sign In Help Home ... Upgrade your Encarta Experience Search Encarta Upgrade your Encarta Experience Spend less time searching and more time learning. Learn more Tasks Find in this article Print Preview Related Items Math Homework Help Binomial, algebraic expression more... Further Reading Editors' picks for Algebra Search for books and more related to Algebra Encarta Search Search Encarta about Algebra Editors' Picks Great books about your topic, Algebra ... Click here Advertisement document.write(' Page 4 of 5 Algebra Encyclopedia Article Multimedia 4 items Article Outline Introduction Symbols And Special Terms Putting Polynomial Equations Into Solvable Forms Solving Equations ... History E Identifying Least Common Multiples Finding least common multiples is useful in combining algebraic fractions. The least common multiple (LCM) of a set of numbers is the smallest number into which each number in the set will divide evenly. The LCM of 2, 3, 4, and 6, for example, is 12. The LCM can be calculated by factoring numbers into their prime components. The LCM is the product of the highest power of each prime factor of the given numbers. For example, to find the LCM for the three numbers 27, 63, and 75, each number is first factored: 27 = 3 ·7, and 75 = 3·5

56. Introductory Algebra: InterAct Math Section 10.1 Introduction to quadratic equations Section 10.2 Solving quadratic equations by Completing the Square Section 10.3 The quadratic Formula http://www.mathmax.com/introalg/chapter/bk3c10im.html

InterAct Math: Chapter 10: Quadratic Equations Practice with our InterAct Math tutorial exercises over the Web! T o access the InterAct Math tutorials over the Web, you will need to download the InterAct PlugIn for Windows 95. You will only need to do this once. Go To Section: Section 10.1: Introduction to Quadratic Equations Section 10.2: Solving Quadratic Equations by Completing the Square Section 10.3: The Quadratic Formula Section 10.4: Formulas ... Section 10.7: Functions

57. Film Ideas: Algebra Translating words into the language of algebra evaluating algebraic Solving quadratic equations by factoring; the quadratic formula. http://www.filmideas.com/algebra.html

Algebra A First Year Algebra Series ** 32 Programs ** ** 100 Page Manual ** ** All Programs Available On Video Laser Disk ** An effective alternative to traditional delivery. Competency based. Built-in testing capability produces immediate grading and feedback. The interactive nature of the programs encourages student involvement and participation at all times. Getting Acquainted with Algebra Translating words into the language of algebra: evaluating algebraic expressions:formulas and other expressions. Video Lesson #1 (Laser: Disc 1, side A) Order of Operations Standard order of operations of simplifying and evaluating algebraic expressions and parentheses. Video Lesson #2 (Laser: Disc 1, side B) Algebraic Expressions Terms and like terms in algebraic expressions. identifying monomials, binomials, and trinomials. Video Lesson #3 (Laser: Disc 2, side A) Multiplying Polynomials Multiplying any two polynomials: applying the FOIL method as a shortcut in multiplying two binomials; using formulas to obtain special products of the form (a+b)2 and (a+b(a-b).

58. Precalculus: Learn/Algebra Use the quadratic formula and one of the computer algebra worksheets below to When you first began to solve quadratic equations, you probably learned to http://www.scit.wlv.ac.uk/university/scit/maths/calculus/modules/topics/precalc/

Precalculus LEARN The Quadratic Formula and Factoring (Hartig) Use the quadratic formula and one of the computer algebra worksheets below to solve the following quadratic equation: 3*x^2+2*x+1=0 [Help] [Help] [Help] [Help] Solve, i.e., find the values of x which make this equation true (equal to zero).You should that the roots of this equation are imaginary numbers , and that the disriminant is zero. Experiment with the solutions to a variety of quadratic functions , by changing the values of the the multiplying terms. There are two roots to the equation above because the highest order term is x squared . When you first began to solve quadratic equations, you probably learned to factor the quadratic and then read the solutions to the equation directly from the factorization, which in this case would have two terms. This method is only useful when the quadratic can be factored easily. Machine computations will help out: factor the following quadratics with the help of the computer algebra worksheets, and compare the results with numerically computed roots. x^2+2*x-8=0 x^2-x+2=0 a*x^2+b*x+c=0 4*x^2-x-2=0 (try changing the 4 to a 1. Try other combinations of coefficients...)

59. Algebra: Single Variable Equations - Text-only algebra Single Variable equations. This page is designed to help you quadratic equations are so complicated because of the factoring and the fact that http://library.thinkquest.org/20991/textonly/alg/eq.html

Algebra: Single Variable Equations This page is designed to help you better understand how to deal with basic equations (equations containing only one variable) and their uses in algebra. Follow any of the links below to go to that section and start understanding equations! Basic equations (single variable, variable only on one side of the equation, etc.) Complex equations Equations consisting of fractions (product, quotient, and power) Quadratic equations Quiz on Single Variable Equations Basic Equations Basic equations (equations containing only one variable, etc.) are usually covered in pre-algebra courses. We've done that on this site as well, so if you want to learn about equations that only deal with whole numbers and one variable, follow this link Back to top. Complex Equations This section will get you on your way to understanding how to deal with equations that contain variables on both sides of the equals (=) sign, equations that contain fractions and/or decimals, and multiple operations. Important Things to Remember Every operation you perform on one side of an equation must be performed on both sides of the equals sign.

60. Algebra II: Quadratic Equations - Math For Morons Like Us Math for Morons Like Us algebra II quadratic equations. http://library.thinkquest.org/20991/alg2/quad.html

Systems of Eq. Polynomials Frac. Express. Complex Numbers ... Trig. Identities On this page we hope to clear up problems you might be having with quadratic equations. Quadratic equations, or equations of the second degree, such as x are probably the most common equation you will see in Algebra II (intermediate algebra). Scroll down or click any of the links below to get a better understanding of quadratic equations. Solving quadratic equations Quadratic formula Quadratic form Quiz on Quadratic Equations Any equation of type ax + bx + c = where a b , and c are constants and , is in standard form for a quadratic equation Quadratic equations of type ax + bx + c = and ax + bx = c is ) can be factored to solve for x . Examples: 1. Problem: Solve + x - 2 = for x . Solution: Factor. (3x - 2)(x + 1) = Use the principle of zero products, which says, if ab = , either a b , or both must be equal to zero. x + 1 = x = -1 x = (2/3) x = -1, (2/3) 2. Problem: Solve for x . Solution: Factor.

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