1. Review Quiz 3/26 1.) Add 3x + 2y and 5x - 4y
2.) Add x2 - 2x and 5x2 - 4x
3.) Add 2x2 - 5x and x2 +3x-7
Subtract 3a + b from 7a + 5b
Subtract 5x2 + 3x from 7x2 -x + 5 • •

2. Review 3/26 8x - 2y 6x2 - 6x 1.) Add 3x + 2y and 5x - 4y
2.) Add x2 - 2x and 5x2 - 4x
6x2 - 6x
3.) Add 2x2 - 5x and x2 +3x-7
3x2 - 2x - 7 • •

3. Review 3/26 2x2 -4x + 5 Subtract 3a + b from 7a + 5b 4a + 4b
Subtract 5x2 + 3x from 7x2 -x + 5
2x2 -4x + 5 • •

4. Objective To be able to use the FOIL method to expand two binomials •

5. Find the Area of each Rectangle
Area = length • width
Then find the total area 10 10
Now Consider:
( )(10 +5)
(20)(15)
300
100
100 10 5 50 50
Total = 300 • •

6. ( )(10 + 5) 10 10 F O I L
100
100 10 5 50 50
10• •5 + 10•10+10•5=
= 300 • •

7. Find the Area of each Rectangle
Area = length • width x 3
(x + 3)(x +2)
x2 +2x +3x + 6
x2 + 5x + 6
x^2 3x x 2 2x 6
FOIL=First,Outside,Inside,Last • •

8. Write an area model to show:
Your Turn
(x + 4)(x + 5) x 5
(x + 4)(x +5)
x2 +5x +4x+ 20
x2 + 9x + 20
x^2 5x x 4 4x 20
FOIL=First,Outside,Inside,Last • •

9. Foil = First, Outside, Inside, Last
Expand (2x + 3)(y + 5)
First = 2x • y
Outside = 2x • 5
Inside = 3 • y
Last = 3 • 5
2xy + 10x + 3y + 15 • •

10. Foil = First, Outside, Inside, Last
Expand (x + 3)(x - 5)
x2 -5x + 3x - 15 L O I F
x2 -2x - 15 • •

11. Foil = First, Outside, Inside, Last
Expand (x + 3)2
(x +3)(x + 3)
x2 +3x + 3x + 9
x2 +6x + 9 • •

12. Foil = First, Outside, Inside, Last
Expand (x + 4)(x - 3)
First = x2
Outside = -3x
Inside = 4x
Last = -12
x2 - 3x + 4x - 12 = x2 + x -12
Your Turn • •

13. Foil = First, Outside, Inside, Last
Expand (x - 2)(x - 3)
First = x2
Outside = -3x
Inside = -2x
Last = 6
x2 - 3x - 2x + 6 = x2 - 5x + 6
Your Turn • •

14. Distributive Property
Expand (x - 2)(x2 +3x + 5)
x3 + 3x2 + 5x -2x2 - 6x - 10 • •

15. Distributive Property
Expand (x - 2)(x2 +3x + 5)
x3 + 3x2 + 5x -2x2 - 6x - 10 • •

16. Distributive Property
Expand (x - 2)(x2 +3x + 5)
x3 + 3x2 + 5x -2x2 - 6x - 10
x3 + x2 + 5x - 6x - 10
x3 + x2 + - x - 10 • •

17. Classwork Homework Sec. 10-1, 10-2 Quiz Do Booklet Page 170
On a separate sheet of paper
Right column only (8 – 24 even)
Homework
Sec. 10-1, 10-2 Quiz
*****Take Home Quiz***** • •