1. Lesson 13-4 Pages 683-686 Multiplying a Polynomial by a Monomial

2. What you will learn! 1. How to multiply a polynomial by a monomial.

4. What you really need to know! The distributive property can be used to multiply a polynomial by a monomial.

6. Example 1: Find the product: - 8(3x + 2) -8(3x) + -8(2) -24x + -16 -24x – 16

7. Example 1b: Find the product: (6x – 1)(-2x) (6x)(-2x) – (1)(-2x) -12x 2 − -2x -12x 2 + 2x

8. Example 2: Find the product: 4b(-a 2 + 5ab + 2b 2 ) 4b(-a 2 ) + 4b(5ab) + 4b(2b 2 ) -4a 2 b +20ab 2 + 8b 3

9. Example 3: The length of a dog run is 4 feet more than three times its width. The perimeter of the dog run is 56 feet. What are the dimensions of the dog run?

10. w = width 4 + 3w = length Perimeter = 2(L) + 2(w) 56 = 2(w) + 2(4 + 3w) 56 = 2w + 8 + 6w

11. 56 = 8w + 8 48 = 8w 6 = w Width = 6, Length = 22

12. Page 685 Guided Practice #’s 4-10

13. Pages 683-684 with someone at home and study examples! Read:

14. Homework: Pages 685-686 #’s 12-30 even #’s 33-46 all

15. Prepare for Mid-Test! Pages 698-699 #’s 9-40 Odd Answers in Back of Book!

16. Page 756 Lesson 13-4