### 04 Multiplying Binomials (FOIL).notebook

```04 Multiplying Binomials (FOIL).notebook
Punnett Square -
February 09, 2015
a diagram used to predict all
possible trait outcomes of offspring
Punnett Square
1. The top flower has a "P" and "p"
gene for color, this could be written algebraically as: (P + p)
2. The side flower also has "P" and "p"
gene for color, this could be written algebraically as: (P + p)
3. List all possible offspring outcomes: PP+
Pp+ Pp+ pp
4. So, when the parents "multiplied", we found that (P+p)(P+p) = PP+ Pp+ Pp+ pp
5. Algebraically, this is:
P2 + 2Pp + p2
Interupting the Punnett Square
1
04 Multiplying Binomials (FOIL).notebook
February 09, 2015
how to multiply binomials
FOIL
O
F
(x+2)(x-3)
I
L
x2-3x+2x -6
F irst (in each paren)
O uter (outer most terms)
I nner (inner most terms)
L ast (in each paren)
Simplify: x2 - 1x - 6
FOIL Demonstration
O
F
1. (x + 5)(x + 2) = x2 +2x +5x +10
I
L
= x2 +7x +10
2. (x ­ 2)(x + 7) = x2 +7x -2x -14
= x2 + 5x - 14
Step­by­Step Examples 2
04 Multiplying Binomials (FOIL).notebook
February 09, 2015
You Try!!
4. (5x + 4)(2x ­ 6)
3. (y ­ 6)(y ­ 3)
y2 - 9y + 18
10x 2 - 22x - 24
5. (2x ­ 4)(2x + 5)
6. (13g + 3)(4g + 5)
52g 2 + 77g + 15
4x 2 + 2x - 20
Examples #3­6
7. (8x + 5)(8x ­ 5)
8. (6x + 1 /2 )(6x + 1 /2 )
64x 2 - 25
36x 2 + 6x + 1 /4
9. (x + y)(x + y)
x2 + 2xy + y
10. (a ­ 3b)(2a ­ 5b)
2
2a 2 - 11ab + 15b
2
Examples #7­10
3
04 Multiplying Binomials (FOIL).notebook
February 09, 2015
Today's Math Journal Questions
Day 4 Question: ______________________
(Date)
Why do we use the “FOIL” method for multiplying binomials (ie: Why does it work?)
MJ ? 9­4
Homework:
Worksheet 9-4
Homework
4
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