1. Multiplying Binomials

2. Table of Contents
46: Warm-Up, Guided Practice, Reflection
47: How Do I Multiply Binomials?

3. Warm-Up
Multiply the following without a calculator:   17

4. Learning Intention/Success Criteria
LI: We are learning to multiply binomials SC: I know how to -add, subtract, and multiply positive and negative integers -multiply binomials in three different ways: FOIL Method, Multiplying Vertically, and/or Box Method

5. EQ: How Do I Multiply Two Binomials?
11/29/2018

6. Term
Part of an expression, which can be separated by an addition or subtraction sign
Monomial
Polynomial with one term
Binomial
Polynomial with two terms, which are not like terms
Trinomial
Polynomial with three terms, which are not like terms

7. Three Methods to Multiply Binomials
A method for distributing two binomials
1. Foil Method
F O I L
First Terms
Outside Terms
Inside Terms
Last Terms
Using an algorithm to multiply
2. Multiplying Vertically
Similar to lattice method
3. Box Method

8. 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

9. 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

10. 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

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

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

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

14. 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

15. Guided Practice 3 Multiply Using Box Method: (x + 4)(x – 2) x + 4
- 2
-2x -8

16. Guided Practice 4 Multiply Vertically: (x – 7)(x – 6) x - 7
- 6
-6x 42

17. Exit Note
Log into Google Classroom and Post in our discussion. Answer one of the questions and respond to at least one other student