Download Multiplying Binomials

Multiplying
Binomials
Algebra Tiles
Box Method
FOIL Method
Algebra Tiles
x2
x
4 ( x + 3 )
4x + 12
1
2
-x
-x
2x ( x
-1
- 1 )
2x2 – 2x
Algebra Tiles
x2
x
1
x + 5
x
-3
(x-3)(x+5)
2
-x
-x
-1
Algebra Tiles
2x
3x
+1
(3x+1)(2x-5)
-5
Algebra Tiles Practice
1. 3(x - 2)
3. (x + 2)(x – 1)
3x - 6
x2 + 1x - 2
2. 4x(x + 3)
4x2 + 12x
4. (2x – 3)(x – 2)
2x2 – 7x +6
Algebra Tiles
Box Method
(x - 3)(x + 5)
(x - 3)(x + 5)
x
x
-3
2
x
+5
+5x
-3x -15
x2
+2x -15
x
+5
x
-3
x2 +2x -15
Box Method Practice
1. (x + 2)(x + 3)
3. (x – 4)(x – 5)
x2 + 5x + 6
x2 – 9x + 20
2. (3x – 1)(x + 4)
3x2 + 11x – 4
4. (2x + 1)(3x – 5)
6x2 – 7x – 5
FOIL Method
First
Outside Inside Last
first
last
first
last
(2x
+
5)(3x
–
4)
outside
inside inside
outside
First :
2x  3x
Outside : 2x  -4
Inside : +5  3x
+5  -4
Last :
= 6x2
= -8x
= 15x
= -20
2
6x 2
20
6x +
+ 7x
7x -- 20
FOIL Method Practice
1. (x + 3)(x + 8)
x2 + 11x + 24
2. (3x – 4)(x + 7)
3x2 +17x - 28
3. (x – 2)(x – 9)
x2 – 11x + 18
4. (5x + 2)(3x – 4)
15x2 – 14x - 8