# Factoring Notes (using Box Method in Reverse)

```Algebra I Factoring
Notes
Factoring is a process of _________________________________________________.
Examples of factoring numbers from middle school:
Find the prime factors of the given number:
1. 24
2. 132
3. 420
Tic-Tac-But No Toe
Part 1: In the following tic tac’s there are four numbers. Find the relationship
that the two numbers on the right have with the two numbers on the left.
x*x
-9
10
X*X
1
-90
-1
0
-12
-36
6
-6
-6
-6
-6
5
-30
36
16 8
10
7
10
2
6
16
1
16
-90
Examples of factoring polynomials from Algebra I:
Find the factors of the quadratic polynomial using the box method in reverse!
1. f ( x)  x 2  5 x  4
2. f ( x)  x 2  10 x  21
f(x) = ____________________
f(x) = __________________
3. f ( x)  x 2  8x  12
f(x) = __________________
Practice: Find the product of linear factors. (Use the box method in reverse!)
1. f ( x)  x 2  8x  15
2. f ( x)  x 2  13x  36
3. f ( x)  x 2  12 x  20
f(x) = ________________
f(x) = ________________
4. f ( x)  x 2  5 x  4
5. f ( x)  x 2  10 x  21
f(x) = ________________
6. f ( x)  x 2  8x  12
Can you do this one
without the box method?
f(x) = ________________
f(x) = ________________
f(x) = ________________
```