1. Do Now Distribute 6x + 18 2(3x + 9) x(4x – 6x + 5) 4x – 6x + 5x

2. Goal for Today!! Learn how to multiply two binomials. Using:
Vertical Multiplication
Area Model

3. Create a model to represent the multiplication problem 3 x 4.
Think about it!!
Create a model to represent the multiplication problem 3 x 4.

4. A rectangular model can be used to represent a multiplication problem.
3 x 4
(“Three times the number four.”)

5. What do we do when we multiply 23 x 17??
What is really happening? 23
x 17
161
23_
391
2o + 3 x 21
140 30
+200
391

6. Let’s look at multiplying binomials vertically!
(2x + 1)(x – 7)
2x + 1
x – 7 -7
+ x
2x2 – 13x – 7
(x + 5)(3x – 4)
x + 5
3x – 4
-20
+ 15x
3x2 + 11x – 20
-4x
-14x
3x2
2x2

7. Try these! Multiply vertically.
(4x – 1)(x – 3) (2x + 5)(x + 7)

8. Using a rectangular model
23 x 17 20 + 3
200
140
(20 + 3)(10 + 7) 21 30
= 391

9. Multiplying binomials using the area model
(x – 8)(2x +3) 2x
2x2 3x x
- 8
2x2 + 3x – 16x – 24
Combine like terms.
-16x
-24
2x2 – 13x – 24

10. Multiplying binomials using the area model
(3x + 1)(5x + 2) 5x
15x2 6x 3x
+ 1
15x2 + 6x + 5x + 2
Combine like terms. 2 5x
15x2 + 11x + 2

11. Try these! Multiply using the rectangular model.
(x + 7)(x + 5) (x + 6)(2x – 1)