1. 6.2 Factoring Simple Quadratics
Objective: Learn/review the basics needed for factoring.

2. Vocabulary Factor Factor Pairs Addition Multiplication Product
F.O.I.L.
Division Rules

3. Division Rules 2 3 4 5 6 7 8 9 10
even number (numbers ending in 0, 2, 4, 6, or 8)
add the digits together, is the sum divisible by 3? recursive
check the last two digits
ends in 5 or 0
divisible by 2 and 3
use calculator (there is a test, but it is very time consuming)
check the last three digits
add the digits together, is the sum divisible by 9? recursive
ends in 0

4. Find the factor pairs of this number.20

5. Sum the factor pairs of this number.20
1 20
2 10
4 5

6. Find and sum the factor pairs of this number.40

7. Find and sum the factor pairs of this number.45

8. Find and sum the factor pairs of this number.64

9. Find and sum the factor pairs of this number.51

10. Find and sum the factor pairs of this number.
100

11. Find and sum the factor pairs of this number.
150

12. Factor the following expressions:
x2 + 5x + 4
Step 1: Find the factors of 4 that sum to 5.
Step 2: Can you say “Template”?
(x + )(x + )
Step 3: Fill in the blanks in the template with the appropriate factor pair from step 1.
(x + )(x + ) 4 1
Step 4: F.O.I.L. to check your work.

13. Factor the following expressions:
z2 + 9z + 8
Step 1: Find the factors of 8 that sum to 9.
Step 2: Can you say “Template”?
(z + )(z + )
Step 3: Fill in the blanks in the template with the appropriate factor pair from step 1.
(z + )(z + ) 8 1
Step 4: F.O.I.L. to check your work.

14. Factor the following expressions:
Step 1: Find the factors of that sum to .
Step 2: Can you say “Template”?
(x + )(x + )
Step 3: Fill in the blanks in the template with the appropriate factor pair from step 1.
(x + )(x + )
Step 4: F.O.I.L. to check your work.

15. Integer Multiplication

16. Quadratic Factoring Permutations (possibilities)
+ + both factors are positive - - both factors are negative + - the factors have opposite signs - +

17. There are four permutations of the signs in a quadratic equation.
x2 - 5x + 4

18. Factor the following expressions:
x2 - 5x + 4

19. Factor the following expressions:
z2 + 2z - 8

20. Factor the following expressions:
z2 - 3z - 10

21. Assignment
6.2 Worksheet