1. Solve Polynomial Equations in Factored Form
2.5
MM1A2f
Factor expressions by greatest common factor, grouping, trial & error, and special product.

2. Zero Property Write original equation Set each equation equal to zero
Solve for x

3. Example 1 ( x- 3) (x + 6) = 0 (m – 7) (m – 9) = 0
(5n + 10) (4n + 12) = 0

4. Solve by factoring Write original equation
Pull out GCF (number, letter, or both)
Set each equation equal to zero
Solve for x.

5. Example 2
a) 6x² + 12x = 0
b) q² + 16q = 0
4k² - 8k = 0
d) 12h² = 36h

6. Factor x² + bx + c
2.6 MM1A2f
MM1A3a
MM1A3c

7. FACTORING TRINOMIALS Trial & Error Method
What 2 numbers will
ADD to give you the middle term and
MULTIPLY to give you the 3rd term?

8. Factoring Tricks
The SIGNS of the terms in your trinomial will give you a clue as to it’s factored form!!
x2 + bx + c
When b and c are positive x2 + bx + c (x + _)(x + _)
When b is negative and c is positive x2 - bx + c (x - _)(x - _)
When b is positive and c is negative x2 + bx – c (x )(x – )
When b is negative and c is negative x2 - bx – c (x )(x )

9. Factor when b & c are Positive
Example 1: x² + 10x + 24
Factor
Sum

10. Factor when b is negative & c is positive
Example 2: w² - 10w + 9
Factor
Sum

11. Factor when b is positive & c is negative
Example 3: x2 + 4x – 12
Factor
Sum

12. Factor when b is negative & c is negative
Example 4: x² - 9x – 36
Factor
Sum

13. Factor Special Products
2.8
MM1A2f

14. Difference of Two Squares
Example 1: (a + b)(a - b)
r² - 81
9x² - 4y²

15. Factor perfect square trinomial
Example 2: (a + b)(a + b) or (a – b)(a – b)
a) x² + 14x + 49
b) x² - 16x + 64

16. Solve a polynomial equation
Example 3:
q² = 0
16m² - 81 = 0

17. Homework 2.5 – pg. 79 # 1 – 33 odd 2.6 – pg. 83 # 1 – 18 odd