1. Bellringer Turn your homework in and get ready for your quiz
GET A CALCULATOR!!!!
Look over your rules for multiplication and division

2. Announcements VOCAB DUE TOMORROW VOCAB QUIZ TOMORROW
Unit 2 test on Monday
$16 due 9/4/12

3. Homework

4. Multiplying Polynomials
Designed by Skip Tyler, Varina High School

5. Review: When multiplying variables,
add the exponents!
1) Simplify: 5(7n - 2)
Use the distributive property.
5 • 7n
35n - 10
- 5 • 2

6. 2) Simplify:
3) Simplify: 6rs(r2s - 3)
- 6rs • 3

7. 5) Simplify: - 4m3(-3m - 6n + 4p)
4) Simplify: 4t2(3t2 + 2t - 5)
5) Simplify: - 4m3(-3m - 6n + 4p)

8. Simplify 4y(3y2 – 1)
7y2 – 1
12y2 – 1
12y3 – 1
12y3 – 4y

9. Simplify -3x2y3(y2 – x2 + 2xy) -3x2y5 + 3x4y3 – 6x3y4

10. There are three techniques you can use for multiplying polynomials.
Distributive Property
FOIL
Box Method

11. The third method is the Box Method. This method works for every problem!
Multiply (3x – 5)(5x + 2) 3x -5 5x +2

12. 3) Multiply (3x - 5)(5x + 2) 3x -5 5x +2 15x2 +6x -25x 15x2 -25x -10
First terms:
Outer terms:
Inner terms:
Last terms:
Combine like terms.
15x2 - 19x – 10 3x -5 5x +2
+6x
-25x
15x2
-25x
-10
+6x
-10
You have 3 techniques. Pick the one you like the best!

13. 4) Multiply (7p - 2)(3p - 4) 7p -2 3p -4 21p2 -28p -6p 21p2 -6p +8
First terms:
Outer terms:
Inner terms:
Last terms:
Combine like terms.
21p2 – 34p + 8 7p -2 3p -4
-28p
-6p
21p2
-6p +8
-28p +8

14. Multiply (y + 4)(y – 3) y2 + y – 12 y2 – y – 12 y2 + 7y – 12

15. Multiply (2a – 3b)(2a + 4b) 4a2 + 14ab – 12b2 4a2 – 14ab – 12b2
4a2 + 8ab – 6ba – 12b2
4a2 + 2ab – 12b2
4a2 – 2ab – 12b2

16. 5) Multiply (2x - 5)(x2 - 5x + 4) . x2
-5x +4 2x -5
2x3
-10x2
+8x
-5x2
+25x
-20

17. 5) Multiply (2x - 5)(x2 - 5x + 4) Combine like terms!+4 2x -5
2x3
-10x2
+8x
-5x2
+25x
-20
2x3 – 15x2 + 33x - 20

18. Multiply (2p + 1)(p2 – 3p + 4) 2p3 + 2p3 + p + 4 y2 – y – 12