Multiplying Binomials

Slides:

Advertisements

Similar presentations

Standard 10 add, subtract, multiply, and divide monomials and polynomials monomials are just one thing binomials are like bx + c polynomials are like ax².

Advertisements

 Pg. 15 #37-42, 46-49,53, 55. Learning Target: I will recognize the types of polynomials and multiply them together to get a single polynomials. Learning.

Simplify each polynomial Adding and Subtracting Polynomials.

Objective: To be able to find the product of two binomials. Objective: To be able to find the product of two binomials. 8.7 Multiplying Polynomials Part.

5-9 Multiplying Monomials and Binomials

Warm Up 1.) What is the simplified form of –x2(2x3 + 5x2 + 6x)?

HW: 6.2 Practice Worksheet. EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical format.

Polynomial Terms and Operations. EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical.

I can show multiplying polynomials with the FOIL. OBJECTIVE.

6.3 Adding, Subtracting, & Multiplying Polynomials p. 338.

Warm-Up: Graph the polynomial. f(x) = x 3 – 4x + 1 xy

SOLUTION EXAMPLE 2 Divide a polynomial by a binomial Divide x 2 + 2x – 3 by x – 1. STEP 1 Divide the first term of x 2 + 2x – 3 by the first term of x.

Review Operations with Polynomials December 9, 2010.

Divide a polynomial by a binomial

Polynomial Expressions Unit 2, Lesson 2 A

EXAMPLE 3 Multiply polynomials vertically

Multiplying Polynomials

8.7 Multiplying Polynomials What you’ll learn: 1.To multiply two binomials 2.To multiply two polynomials.

Polynomials Objective: To review operations involving polynomials.

Name ____________________________________________ Date _______________ Per_____ Polynomials Review Adding Ex: 1. Simplify 2. Find the perimeter Subtracting.

EXAMPLE 3 Multiply polynomials vertically Find the product (b 2 + 6b – 7)(3b – 4). SOLUTION STEP 1 Multiply by – 4. b 2 + 6b – 7 – 4b 2 – 24b b –

Adding, Subtracting, and Multiplying Polynomials 6.3 By: Garrett Horrell & Zack Olszewski.

6 – 3 Adding, Subtracting and Multiplying Polynomials Day 1 Objective: Add, subtract, and multiply polynomials.

Notes Over 6.3 Adding Polynomial Horizontally and Vertically Find the sum. Just combine like terms.

6.3 Adding, Subtracting, & Multiplying Polynomials p. 338 What are the two ways that you can add, subtract or multiply polynomials? Name three special.

6.3 Adding, Subtracting, and Multiplying Polynomials, p. 338 Objective: To Add, Subtract, and Multiply Polynomials; CA Std. 3.0 Example 1a Example 1aSimplify.

Notes Over 10.2 Multiply binomials by using F O I L.

Grade Eight – Algebra I - Unit 9 Linear Equations and Their Graphs

I can show multiplying polynomials with the FOIL.

8-3 Multiplying Polynomials again

Integers Rules of Operation.

Integer Rules Memorize the Rules.

Lesson 9.3 Find Special Products of Polynomials

Warm Up Subtract: Add:.

3rd Quarter Benchmark Study Guide Extended. 3rd Quarter Benchmark Study Guide Extended.

5-9 Multiplying Monomials and Binomials

Notes Over 10.2 Multiply binomials by using F O I L.

Add, Subtract and Multiply Polynomials

Adding and Subtracting Polynomials

Multiplying Binomials

Polynomial Functions IM3 Ms.Peralta.

Solving Systems of Equations By Elimination

Factoring With Stick Man, Day Two

The Integer Song.

6.3 Adding, Subtracting, and Multiplying Polynomials

To get y, multiply x by 3 then add 2 To get y, multiply x by negative ½ then add 2 To get y, multiply x by 2 then subtract 3 To get y, multiply x.

How Do I Multiply Two Binomials?

Adding and Subtracting Polynomials

Solving Systems of Equations By Elimination

Factoring Quadratics.

Subtracting Integers Sec 2.3 pg

Graphing Changing A and C

4.1 Introduction to Polynomials

5.3 Add, Subtract, and Multiply Polynomials

Solving Systems of Equations By Substitution

Quadratic Formula.

Quadratic Functions: f(x) = a(x – h)2

Section 4.2 Adding, Subtracting and Multiplying Polynomials

Quadratic Formula.

Factoring with GCF and DOS

Factoring with GCF and DOS

Solving System of Equations Word Problems

2.3 Factor and Solve Polynomial Expressions

Adding and Subtracting Polynomials

Binomial Radical Expressions

Section 5.3 Polynomials and Polynomial Functions

Factoring Quadratics.

Warm-Up 5 minutes Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)

Operations with Integers

Factoring with DOS.

Presentation transcript:

Multiplying Binomials

Table of Contents Pg Title Vocab LI/SC, Guided Practice Adding and Subtracting Polynomials Multiplying Binomials

Learning Intention/Success Criteria LI: We are learning to multiply binomials SC: I know how to -add positive and negative integers -subtract positive and negative integers -multiply positive and negative integers -multiply binomials using the FOIL Method -multiply binomials by multiplying vertically -multiply binomials using the Box Method -decide which method works best for me

Example 1: Multiply using FOIL Method (x + 3)(x + 2) (x + 3)(x + 2) F O I L x  x = x2 x  2 = 2x 3  x = 3x 3  2 = 6 x2 + 2x + 3x + 6 x2 + 5x + 6

Guided Practice 1 Multiply using FOIL: (x + 4)(x – 2) F O I L x  x x2 - 2x + 4x – 8 x2 + 2x – 8 x  -2 = -2x 4  x = 4x 4  -2 = -8

Guided Practice 2 Multiply using FOIL: (x – 7)(x – 6) F O I L x  x x2 - 6x - 7x + 42 x2 - 13x + 42 x  -6 = -6x -7  x = -7x -7  -6 = 42

Example 2: Multiply Vertically (x + 3)(x + 2) x + 3 x + 2 _________ 2x + 6 x2 + 3x ____________ x2 + 5x + 6

Guided Practice 3 Multiply Vertically: (x + 4)(x – 2) x + 4 x – 2 _________ -2x – 8 x2 + 4x ____________ x2 + 2x – 8

Guided Practice 4 Multiply Vertically: (x – 7)(x – 6) x – 7 x – 6 ________ -6x + 42 x2 - 7x ____________ x2 - 13x + 42

Example 3: Multiply using Box Method (x + 3)(x + 2) x + 3 x2 3x x + 2 2x 6 x2 + 2x + 3x + 6 x2 + 5x + 6

Guided Practice 5 Multiply Using Box Method: (x + 4)(x – 2) x + 4 - 2 -2x -8

Guided Practice 6 Multiply Using Box Method: (x – 7)(x – 6) x - 7 - 6 -6x 42