MTH 065 Elementary Algebra II Chapter 5 – Polynomials Section 5.6 – Special Products Copyright © 2008 by Ron Wallace, all rights reserved.

Slides:

Advertisements

Similar presentations

Section P4 Polynomials. How We Describe Polynomials.

Advertisements

MTH 070 Elementary Algebra

MTH 095 Intermediate Algebra Chapter 10 Complex Numbers and Quadratic Equations Section 10.4 Equations Quadratic in Form and Applications Copyright © 2011.

Objectives Factor the difference of two squares..

C HAPTER 10 – P OLYNOMIALS AND F ACTORING 10.3 – Special Products of Polynomials.

 Step 1: Multiply the F IRST terms in the brackets.

Section 2.5 Multiplication of Polynomials and Special Products

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Multiplying Binomials Algebra Tiles Box Method FOIL Method.

MTH Algebra Special Factoring Formulas and a General Review of Factoring Chapter 5 Section 5.

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 12 Exponents and Polynomials.

MULTIPLICATION OF POLYNOMIALS CHAPTER 4 SECTION 5 MTH Algebra.

Chapter 6 Section 4 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

6.4 M ULTIPLYING P OLYNOMIALS Sec Copyright © 2010 Pearson Education, Inc. All rights reserved. Multiplying Monomials We multiply polynomials by.

Section 5.6 Special Products of Binomials. 5.6 Lecture Guide: Special Products of Binomials Objective 1: Multiply by inspection a sum times a difference.

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.

Factoring and Solving Polynomial Equations (Day 1)

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

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

C HAPTER 10 – P OLYNOMIALS AND FACTORING 10.2 – Multiplying Polynomials.

4.6a SKM & PP 1 Polynomial Multiplication: Product of Conjugates.

8.7 Multiplying Polynomials p.. The FOIL method is ONLY used when you multiply 2 binomials. F irst terms O utside terms I nside terms L ast terms.

Multiplying Polynomials *You must know how to multiply before you can factor!”

Multiplying Special Cases

Ch 10: Polynomials B) Multiplying Objective: To multiply polynomials using various techniques.

Multiplying Polynomials MATH 017 Intermediate Algebra S. Rook.

How to factor your food and foil the leftovers!

2.2 Warm Up Find the sum or difference. 1. (2x – 3 + 8x²) + (5x + 3 – 8x²) 2. (x³ - 5x² - 4x) – (4x³ - 3x² + 2x – 8) 3. (x – 4) – (5x³ - 2x² + 3x – 11)

Copyright © 2010 Pearson Education, Inc. All rights reserved. 6.5 – Slide 1.

Objectives Factor perfect-square trinomials.

2.3Special Products of Polynomials Square of a Binomial Pattern Multiply binomials by using F O I L.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.

MTH 065 Elementary Algebra II Chapter 6 – Polynomial Factorizations and Equations Section 6.2 – Equations Containing Trinomials of the Type x 2 + bx +

Using Distribution with Polynomials Copyright Scott Storla 2015.

7.3 Binomial Radical Expressions (Day 1). Like Terms/Radicals Like radicals - radical expressions that have the same index and the same radicand When.

MTH 065 Elementary Algebra II Chapter 6 – Polynomial Factorizations and Equations Section 6.6 – Factoring: A General Strategy.

Multiplying Conjugates The following pairs of binomials are called conjugates. Notice that they all have the same terms, only the sign between them is.

Bellwork 1.(x + 3)(x − 3) 2.(3x + 1)(2x − 1). SPECIAL PRODUCTS OF POLYNOMIALS Section 7.3.

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.

5.3C- Special Patterns for Multiplying Binomials SUM AND DIFFERENCE (a+b)(a-b) = a² - b² (x +2)(x – 2) = x² -4 “O & I” cancel out of FOIL SQUARE OF A BINOMIAL.

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

Addition, Subtraction, and Multiplication of Polynomials

Chapter 6 Section 4.

Chapter 7 Factoring. Chapter 7 Factoring 7.3 Special Factoring.

Factoring Special Products

8-4 Special Products of Polynomials

Lesson 9.3 Find Special Products of Polynomials

Warm Up Subtract: Add:.

Warm Up Multiply using the F.O.I.L. or Box Method.

Chapter 7 Factoring.

Chapter 7 Factoring.

Exponents, Polynomials, and Polynomial Functions

Notes Over 10.3 Multiply binomials by using F O I L.

Warm-up: Write in scientific notation: ,490,000

Difference of Two Squares

Special Products of Binomials

ALGEBRA I - SECTION 8-7 (Factoring Special Cases)

Objective SWBAT use special product patterns to multiply polynomials.

Worksheet Key 2/27/ :04 PM Special Products.

Unit 1 Section 3B: MULTIPLYING POLYNOMIALS

Section P4 Polynomials.

Factoring Special Products

5.3 Add, Subtract, and Multiply Polynomials

SECTION 8-4 – MULTIPLYING SPECIAL CASES

Algebra 1 Section 9.5.

7.3 Special Products.

Special Products of Polynomials

5.9 Multiplication of Monomials and Binomials

Presentation transcript:

MTH 065 Elementary Algebra II Chapter 5 – Polynomials Section 5.6 – Special Products Copyright © 2008 by Ron Wallace, all rights reserved.

NOTE!  Important skills in mathematics … Categorizing types of problems. Recognizing patterns. Special cases of more general problems.  This section … 5 special products Two binomials Two “similar” binomials A sum and difference of two terms Squaring a sum Squaring a difference

 The “FOIL” method! F irst O utside I nside L ast Product of Two Binomials F L I O

 The “FOIL” method! F irst O utside I nside L ast Product of Two Similar Binomials F L I O Like Terms 1 st terms are like terms 2 nd terms are like terms

 The “FOIL” method! F irst O utside I nside L ast Sum & Difference of Two Terms F L I O Opposites

 The “FOIL” method! F irst O utside I nside L ast Squaring a Sum F L I O Same

 The “FOIL” method! F irst O utside I nside L ast Squaring a Difference F L I O Same

Summary … FOIL