PPT-2.3 Quadratic Functions by Factoring

ACT Objectives FIF4 For a function that models a relationship between two quantities interpret key features of graphs and tables in terms of the quantities and sketch graphs showing key features given a verbal description of the relationship . The Language of Algebra. Language of algebra. To be able to write an English paper you’re going to have to know just some basic rules of language. For instance, you have to obviously know things such as the alphabet and punctuation.. :. Quadratic Functions. . Section: . 2.1. Pages. : 92-102. My Learning Goals. 1. . Be able to analyze the the components of a quadratic function. . 2. . Be able to convert between the different quadratic forms. . X- Box. Product of a & c. b. Trinomial (Quadratic Equation). ax. 2. + bx + c. Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. . X- Box. 20. 9. Trinomial (Quadratic Equation). Optional Pre-Final Exam Review. 1 – Basic Algebra Review. 2 – Graphs & Equations of Lines. 3 – Solving Systems of Equations. 4 – Inequalities. 5 – Polynomials & Factoring. 6 – Rational Expressions & Functions. 7.7 Solving Quadratic Equations by Factoring. Checklist for factoring polynomials of any type.. 1. If the polynomial has a greatest common factor other than 1, factor out this GCF. 2. If the polynomial has two terms (binomial), check to see if it is a difference of two squares or sum/difference of two cubes and factor accordingly, if it is a sum of squares it will not factor. Algebra II with Trigonometry. Essential Stuff. Essential Question. How do you factor expressions?. Essential Vocabulary. Factor. Quadratic Expression. Trinomial. What is Factoring?. Rewriting an expression as the product of its factors. Chapter 8/9 Notes. Part II. 8-5, 8-6, 8-7, 9-2, 9-3. Section 8-5: Greatest Common Factor, Day 1. Factors –. Factoring – . Standard Form Factored Form. Section 8-5: Greatest Common Factor, Day 1. b. Trinomial (Quadratic Equation). ax. 2. bx c. Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. . X- Box. 20. 9. Trinomial (Quadratic Equation). b. Trinomial (Quadratic Equation). ax. 2. bx c. Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. . X- Box. 20. 9. Trinomial (Quadratic Equation). Warm Up. Find the . x. -intercept of each function.. 1.. . f(x. ) = –3. x. 9. 2.. . f. (. x. ) = 6. x . 4. Factor each expression.. 3.. 3. x. 2. – 12. x. 4.. . x. 2. – 9. x. 18. 5.. In preparation for the Algebra CST. -b . . b. 2. – 4ac. 2ac. √. (x 4)(x-3)=0. (x 1)(x 2). X. 2. – 5x 4. F O I L. Complete. The Square. Multiplying Polynomials. Area Model of Multiplication. Tammy Wallace. Varina High. What is a Quadratic Equation?. A . QUADRATIC EQUATION. is an equation in which the greatest power of any variable is 2. . The standard form of a quadratic equation is . General Equation. Y = ax². What if A was positive?. Test in your calculator. What if A Was negative?. Test in your calculator.. Y = ax². What if A was greater than 1?. Test in your calculator. What if A Was less than 1?. 1North Carolina Standard Course of StudyNorth Carolina Math 2Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and quantitatively3Construct via