1. 5.9 Multiplication of Monomials and Binomials
Goals:
To multiply a monomial and a poly
To multiply 2 binomials (FOIL)

2. Multiplying 2 Binomials
You can use the chart method
You can FOIL

4. Chart Method (My Favorite)
Draw a 2 x 2 box
The 1st Binomial goes on top!
(Write the 1st term on the top left and the 2nd term on the top right)
The 2nd Binomial goes down the left side!
(Write the 1st term on the top left and 2nd term on bottom left)

5. Write the polynomial x 5 x2 5x x 2 2x 10

6. Write the polynomial 2x 3 x
2x2 3x 12 4 8x

7. “F O I L” Multiplication
F irst
O uter
I nner
L ast
(x + 2) × (x + 3) x2
+ 3x
+ 2x
+ 6
x2 + 5x + 6

8. use FOIL to multiply
(2x + 1)(x + 3)
2x2
+ 6x
+ x
+ 3
2x2 + 7x + 3

9. (3x + 2)(x + 5)
3x2
+ 15x
+ 2x
+ 10
3x2 + 17x + 10

10. (x + 3)(x - 5)
x2 - 5x + 3x - 15
x2 - 2x - 15

11. (5x - 1)(2x - 7)
10x2 – 35x - 2x +7
10x2 –37x + 7

12. (6x + 3)(x - 4)
6x2 - 24x + 3x - 12
6x2 - 21x - 12

13. (2)(-2)(x)(y)(y)
(2xy + 3x)(-2y - 5)
- 4xy2
- 10xy
- 6xy
- 15x
-4xy2 - 16xy – 15x

14. Assignment Page 242 (2-54 even) and # 60