1. Bell Ringer #4 Quad Card
Directions: Draw the quad card on your paper, but replace each definition with the vocabulary term that it matches.
Rewriting an expression as the product of factors.
The largest common number that will divide into a set of numbers evenly.
Chapter 4.4 Vocabulary
4x2 – 16 is an example of this special type of trinomial.
A trinomial that the square of a binomial

2. Chapter 4.4 Objectives Before you leave today, you should be able to:
find common and binomial factors of quadratic expressions.
Factor special quadratic expression.
CCRS: 7

3. Sign Rules for Factoring
ax2+ bx+c
ax2+ bx– c
ax2 –bx –c
ax2–bx +c
Example
x2 + 4x+3
x2 +2x -3
x2 -2x -3
x2 – 4x+3
Factor:
( )( )
( )( )

4. Factoring ax2+bx+c when a is 1 or -1
A) x2 + 9x + 20 B) x2 + 14x -72
c) –x2 + 13x -12

5. Example 1:
x2 + 14x + 40
x2 -11x + 30
-x2 + 14x + 32

6. Finding Common Factors
Remember: Greatest Common Factor (GCF)
6n2 + 9n
4x2 + 20x - 56

7. Example 2: What is the expression in factored form? 7n2 -21
9x2 + 9x – 18
4x2 + 8x + 12

8. Factoring ax2+bx+c when a is NOT 1 or -1
a) 2x x + 12

9. Factoring ax2+bx+c when a is NOT 1 or -1
b) 4x2 – 4x -3

10. Example 3:
4x2 + 7x + 3 b) 2x2 – 7x + 6

11. Bell Ringer #4b
Factor 4x2 – 4x – 3

12. Perfect Square Trinomials
a2 + (2b)a + b2
a2 – (2b)a + b2
a2 + 8a + 16
a2 – 8a +16
( )( ) = ( )2
Difference of Two Squares
a2 – b2
9x2 - 25
( )( )

13. Example 4: Factoring a Perfect Square Trinomial
4x2 – 24x + 36
64x2 – 16x + 1

14. Example 5: Difference of Two Squares
What is 25x2 -49?
What is 16x2 – 81?

15. Quick Write
Explain in your own words how you would factor x2 + 3x +2. You should explain using at least three COMPLETE sentences including punctuation.