1. Do Now 3/12/10 Take out HW from last night. Copy HW in your planner.
Text p. 599, #73-81 all
Copy HW in your planner.
Text p. 603, #4-40 multiples of 4
In your notebook, define a perfect square in your own words. Then list the squares of the numbers 1 to 20.

2. Homework Text p. 599, #73 – 81 all 73) a² - 18a + 81
74) k² + 24k + 144
75) 9x² - 12x + 4
76) m² - 16
77) 4c² - 1
78) 25n² - 9
79) 9y² - 48y + 64
80) 4s² - 20st + 25t²
81) x² - 4y²

3. Chapter 9 “Polynomials and Factoring”
(9.1) Add and subtract polynomials
(9.2) Multiply polynomials
(9.3) Find special products of polynomials
(9.4) Solve polynomial equations in factored form
(9.5) Factor x² + bx + c
(9.6) Factor ax² + bx + c
(9.7) Factor special products
(9.8) Factor polynomials completely

4. Objective
SWBAT factor special product patterns

5. Section 9.7 “Factor Special Products”
(1) perfect square trinomials
(2) the difference of two squares
Squares are numbers or variables that have a
whole number or whole variable square root. x² 9 t² 1 25
4z²

6. Section 9.7 “Factor Special Products”
You can use the following special products patterns to help you factor certain polynomials.
Perfect Square Trinomial Pattern (addition)
a² + 2ab + b²
(a + b)²
(a + b)(a + b)
Perfect Square Trinomial Pattern (subtraction)
a² – 2ab + b²
(a – b)²
(a - b)(a - b)
Difference of Two Squares Pattern
a² – b²
(a + b)(a – b)

7. a² + 2ab + b² (a + b)² (x + 5)² x² + 10x + 25 (3x + 2)² 9x² + 12x + 4
Perfect Square Trinomial Pattern (addition)
a² + 2ab + b²
(a + b)²
(a + b)(a + b)
Always check for perfect squares FIRST!!
(x + 5)²
x² + 10x + 25
(3x + 2)²
9x² + 12x + 4
2(3x + 2)²
2(9x² + 12x + 4)
18x² + 24x + 8
Factor out 2 first, then look for perfect squares.

8. a² – 2ab + b² (a – b)² (x – 3)² x² – 6x + 9 (6y – 1)² 36y² – 12y + 1
Perfect Square Trinomial Pattern (subtraction)
a² – 2ab + b²
(a – b)²
(a - b)(a - b)
Always check for perfect squares FIRST!!
(x – 3)²
x² – 6x + 9
(6y – 1)²
36y² – 12y + 1
3(x² – 2xy + y²)
3x² – 6xy + 3y²
3(x – y)²
Factor out 3 first, then look for perfect squares.

9. a² – b² (a + b)(a – b) x² – 16 (x + 4)(x – 4) 9(2y + 3)(2y – 3)
Difference of Two Squares Pattern
a² – b²
(a + b)(a – b)
Always check for perfect squares FIRST!!
x² – 16
(x + 4)(x – 4)
9(2y + 3)(2y – 3)
36y² – 81
(7c + d)(7c – d)
49c² – d²

10. Skills Review Handbook NJASK7 Prep
Homework
Text p. 603, #4-40 multiples of 4