Factoring Quadratic Expression Today’s Objective: I can factor a quadratic expression.

Slides:



Advertisements
Similar presentations
Factoring Quadratic Equations
Advertisements

Factoring – Trinomials (a ≠ 1),
In our lesson today we will learn how to find the area of a building.
Factoring x2 + bx + c Warm Up Lesson Presentation Lesson Quiz.
STROUD Worked examples and exercises are in the text PROGRAMME F2 INTRODUCTION TO ALGEBRA.
When you are multiplying two binomials use FOIL. FOIL stands for First Outer Inner Last When you multiply two binomials you generally end up with three.
5.4 Factoring Trinomials Factoring Trinomials of the Type x2 + bx + c
Factoring a Quadratic Trinomial Step 2: Insert the two numbers that have a product of c and a sum of b. 2 and 5 are the factors of 10 that add up to 7.
7-3 Factoring x2 + bx + c Warm Up Lesson Presentation Lesson Quiz
Essential Question: How is FOIL related to factoring?
Binomials. What is a binomial?  A binomial expression is an expression with 2 terms.  EXAMPLES: x+2, 2p-3, p+q.
1.3 Complex Number System.
§ 4.5 Multiplication of Polynomials. Angel, Elementary Algebra, 7ed 2 Multiplying Polynomials To multiply a monomial by a monomial, multiply their coefficients.
8-4 Factoring ax2 + bx + c Warm Up Lesson Presentation Lesson Quiz
Exponents and Polynomials
Multiplying Polynomials Honors Math – Grade 8. KEY CONCEPT FOIL Method To multiply two binomials, find the sum of the products of Fthe FIRST terms Othe.
Factoring Tutorial.
A.3 Objectives A. Polynomials and Factoring 1.Understand the vocabulary of polynomials 2.Add and subtract polynomials 3.Write polynomials in standard form.
Goal: Graph quadratic functions in the form y = ax 2 + bx + c.
6.6 Quadratic Equations. Multiplying Binomials A binomial has 2 terms Examples: x + 3, 3x – 5, x 2 + 2y 2, a – 10b To multiply binomials use the FOIL.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
Section 4.4 – Factoring Quadratic Expressions Factors of a given number are numbers that have a product equal to the given numbers. Factors of a given.
Factoring Day 2 I can factor a quadratic expression. x 2 – 8x + 15 Rewrite as (x – 3)(x – 5)
Holt Algebra Factoring x 2 + bx + c Factor quadratic trinomials of the form x 2 + bx + c. Objective.
Chapter 7 Section 3 and 4 Factoring. Objectives  Factor quadratic trinomials of the form x 2 + bx + c. Factor quadratic trinomials of the form ax 2 +
Objective The student will be able to: factor quadratic trinomials. Trial and Error Method SOL: A.2c Designed by Skip Tyler, Varina High School.
WARM-UP Factor: I am picking the warm-up up today.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Section 5.4 Multiplying Polynomials.
Algebra I Notes Section 9.6 (A) Factoring ax 2 + bx + c With Leading Coefficient ≠ 1.
1. 3. ANSWER 2. ANSWER Most Missed on Quiz Write the number in scientific notation. Write the number in standard Form. 4 ANSWER.
Frogs, Fleas, and Painted Cubes
Lesson 10.5 Factoring Objective: To factor a quadratic trinomial of the form Factoring a trinomial is the opposite of multiplying two binomials. Example:
Unit 8, Lesson 7a. (x+3)(x+2) Multiplying Binomials (FOIL) FOIL = x 2 + 2x + 3x + 6 = x 2 + 5x + 6.
Multiply two binomials using FOIL method
Slide Copyright © 2009 Pearson Education, Inc. 6.9 Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula.
Quadratic Equations Learning Outcomes  Factorise by use of difference of two squares  Factorise quadratic expressions  Solve quadratic equations by.
Chapter 5.2 Solving Quadratic Equations by Factoring.
Section 10.6 Factoring Objectives: Factor a quadratic expression of the form Solve quadratic equations by factoring.
Algebra 2 Ch.5 Notes Page 33 P Factoring Quadratic Expressions (Part 1)
Multiplying Polynomials with FOIL Objective: Students will multiply two binomials using the FOIL method. S. Calahan March 2008.
Factoring Example 1: What is the Greatest Common Factor (GCF) of the two terms below? Example 2: Example 3:
F-O-I-L A method for Multiplying 2 Binomials. F-O-I-L FOIL stands for: First Outer Inner Last Find the product of each set of terms and add them up to.
I. Adding Two Positive Integers (Regular Addition) 1.) = 2.) = 3.) = 4.) = 1-7 Adding Integers There are three parts to today's.
Factoring Trinomials Chapter 10.4 Part 2. Review: Factoring Quadratic Trinomials Find the factors of the last term. Which of those factors combine to.
Holt McDougal Algebra Factoring x 2 + bx + c Factor quadratic trinomials of the form x 2 + bx + c. Objective multiply two binomials using the Distributive.
Factoring Quadratic Trinomials a = 1 Chapter 10.5.
Think about it... In a game, you see two cards, a 5 and a 6. You are then dealt two more cards with numbers on them. All the cards in the deck are positive.
4.4 Factoring Quadratic Expressions Learning Target: I can find common binomial factors of quadratic expressions. Success Criteria: I can find the factors.
Bell Quiz. Objectives Multiply and Divide signed numbers. Discuss the properties of real numbers that apply specifically to multiplication. Explain the.
Factoring Day 1 I can factor a quadratic expression. x 2 + 3x + 2 Rewrite as (x + 1)(x + 2)
Notes Over 10.2 Multiply binomials by using F O I L.
Multiply two binomials using FOIL method
Multiplying Binomials
Factoring Quadratic Expression
Solving quadratic equations
Lesson 2-1 Properties of Numbers.
Multiplying Binomials and Special Cases
5-4 Factoring Quadratic Expressions
Notes Over 10.3 Multiply binomials by using F O I L.
Notes Over 10.2 Multiply binomials by using F O I L.
Warm Up Find each product. 1. (x – 2)(2x + 7) 2. (3y + 4)(2y + 9)
Factoring Quadratics December 1st, 2016.
13 Exponents and Polynomials.
8.3 Factoring Equations of the Form: x2 + bx + c
Multiplying Binomials
Multiplying binomials intro
Factoring Trinomials Day #1
Factoring Quadratic Expressions
Factoring a Quadratic Expression when a is not 1
Topics are Topics are: Imaginary numbers (definition and simplify power of i) Complex numbers Graphing complex numbers. Add / Subtract / Multiply / Divide.
Presentation transcript:

Factoring Quadratic Expression Today’s Objective: I can factor a quadratic expression.

In a game, you see the two cards shown. You get two other cards with numbers. You win if: 1.the product of your two cards equals the number on one card shown AND 2.the sum of your two numbers equals then number on the other card shown. What should your two cards be for you to win the game. Explain. Factors: numbers/expressions that have a product equal to the given number/expression

First Outer Inner Last Multiplying Binomial factors: Factors of c (20): Add to b (9) Factors of c (-15): Add to b (2) Tips c is negative factors are opposite b is positive larger factor is positive FOILFOIL Factors: numbers/expressions that have a product equal to the given number/expression

Factoring common factors Factors of ac (24): Add to b (11)

Factors of ac (-60): Add to b (-11) Factors of ac (-12): Add to b (-4) p. 221:14-54 evens