Download presentation

Presentation is loading. Please wait.

Published byHeidi Dando Modified over 3 years ago

1
**Copyright © 2013, 2009, 2006 Pearson Education, Inc.**

Section 5.3 Special Products Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1

3
Special Products In this section we will use the distributive property to develop patterns that will allow us to multiply some special binomials quickly. We will find the product of two binomials using a method called FOIL. We will learn a formula for finding the square of a binomial sum. We will also learn formula for finding the product of the sum and difference of two terms.

4
**Using the FOIL Method to Multiply Binomials**

Multiplying Polynomials - FOIL Using the FOIL Method to Multiply Binomials last F O I L first inside Product of First terms Product of Outside terms Product of Inside terms Product of Last terms outside

5
**Multiplying Polynomials - FOIL**

EXAMPLE Multiply SOLUTION last F O I L first Multiply inside outside Combine like terms

6
**FOIL Method Multiply: (5x + 2)(x + 7)**

EXAMPLE F O I L (5x + 2)(x + 7) = 5x·x + 5x·7 + 2·x + 2·7 =5x2 + 35x + 2x +14 =5x2 + 37x +14 Product of the last terms Product of the first terms Product of the outside terms Product of the inside terms

7
**FOIL Method Multiply: (5x + 2)(x + 7)**

EXAMPLE F O I L (5x + 2)(x + 7) = 5x·x + 5x·7 + 2·x + 2·7 =5x2 + 35x + 2x +14 =5x2 + 37x +14 Product of the last terms Product of the first terms Product of the outside terms Product of the inside terms

8
Objective #1: Example

9
Objective #1: Example

10
Objective #1: Example

11
Objective #1: Example

13
**Multiplying the Sum and Difference of Two Terms**

(A + B)(A – B) = A2 – B2 The product of the sum and the difference of the same two terms is the square of the first term minus the square of the second term.

14
Objective #2: Example

15
Objective #2: Example

16
Objective #2: Example

17
Objective #2: Example

19
**The Square of a Binomial Sum**

(A + B)2 = A2 + 2AB + B2 The square of a binomial sum is the first term squared plus two times the product of the terms plus the last term squared.

20
**Multiplying Polynomials – Special Formulas**

EXAMPLE Multiply SOLUTION Use the special-product formula shown. + = Product

21
Objective #3: Example

22
Objective #3: Example

23
Objective #3: Example

24
Objective #3: Example

26
**The Square of a Binomial Difference**

(A – B)2 = A2 – 2AB + B2 The square of a binomial difference is the first term squared minus two times the product of the terms plus the last term squared.

27
**Multiplying Polynomials – Special Formulas**

EXAMPLE Multiply SOLUTION Use the special-product formula shown. – + = Product

28
Objective #4: Example

29
Objective #4: Example

30
Objective #4: Example

31
Objective #4: Example

32
**Multiplying Polynomials – Special Formulas**

The Square of a Binomial Sum The Square of a Binomial Difference The Product of the Sum and Difference of Two Terms

Similar presentations

Presentation is loading. Please wait....

OK

© 2010, Mike Murach & Associates, Inc.

© 2010, Mike Murach & Associates, Inc.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on road signs in india Ppt on web page designing Ppt on gunn diode oscillator Ppt on nervous system of human body Ppt on holographic technology adopted Ppt on balanced diet Ppt on aircraft landing gear system diagrams Ppt on chemical change and physical change Ppt on amelia earhart biography Ppt on asymptotic notation of algorithms