PPT-Solving quadratic equations by graphing and factoring

Warm Up Find the x intercept of each function 1 fx 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. Page 3. General equation of a quadratic:. Quadratic Formula:. Notice where the letters come from for the formula. We use the quadratic formula when something can not be factored. However, it also works for factorable quadratic equations as well.. Lesson 5.6. Warm-up. Solve:. 2. Simplify:. . Solving Quadratic Equations: Sometimes you can use square roots to solve some quadratic equations. However, you must remember that. so you must have both the positive and negative value for your answer.. Solve by Graphing . Warm-up. Find the x-intercepts..  .  . Solutions to a Quadratic .  . The solutions or roots to a quadratic equation are . ___________________. (Also called . . ).  .  .  . 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. Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. _____________________________________________________________. Algebra 1 – Solving . Equations - Math is Hip. ™. Prerequisite Skills Needed:. - . Order of Operations. - Add/Subtract & Multiply/Divide . 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). If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . By Kyle Muldrow. Overview. General Description. Review of Flowcharts and Flowchart Symbols. The Factoring Flowchart. Greatest Common Factor. Factoring Polynomials with two terms. Factoring Polynomials with four terms. 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 . Recall, we went over how to factor quadratics that are trinomials. Example. Factor the expression x. 2. 7x 12. Quadratic Equations. Quadratic Equations. are written in the form ax. 2. . bx. c = 0. GCSE: Solving Quadratic Equations Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 2 nd June 2015 Overview There are 4 ways in which we can solve quadratic equations.   1 By Factorising 2 ACT. Objectives . F-IF.4: 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. .