1. X-box Factoring

2. X- Box
Product 3 -9
Sum

3. First and Last Coefficients
Factor the x-box way
y = ax2 + bx + c
Base 1
Base 2
Product
ac=mn
First and Last Coefficients
1st Term
Factor n
GCF n m
Middle
Last term
Factor m
b=m+n
Sum
Height

4. Examples Factor using the x-box method. 1. x2 + 4x – 12 x +6 x2 6x x
a) b) x +6
-12 4
x2 6x
-2x -12 x 6 -2 -2
Solution: x2 + 4x – 12 = (x + 6)(x - 2)

5. Examples continued 2. x2 - 9x + 20 x -4 x x2 -4x -5x 20
a) b) x -4 20 -9 x
x2 -4x
-5x 20 -5
Solution: x2 - 9x + 20 = (x - 4)(x - 5)

6. Examples continued 3. 2x2 - 5x - 7 2x -7 x 2x2 -7x 2x -7
a) b) 2x -7
-14 -5 x
2x2 -7x
2x -7 +1
Solution: 2x2 - 5x – 7 = (2x - 7)(x + 1)

7. Examples continued 3. 15x2 + 7x - 2 3x +2 5x 15x2 10x -3x -2
a) b) 3x +2
-30 7 5x
15x2 10x
-3x -2 -1
Solution: 15x2 + 7x – 2 = (3x + 2)(5x - 1)