1. Factoring Quadratics using X-Box method and Factor by Grouping

2. Bell Ringer:

3. Homework!
Score out of 26
Divide by 2.6

4. X- Marks the Spot
Product a∙c
factors
factors
Sum b

5. Solve using factoring by grouping
Example: Factor 3x2 -13x -10
-13x=
-15x
+2x
1. Plug and solve values of our “X”
2. Substitute new factors in for bx
3x2
-15x+2x
-10
(3)(-10)=
-30
3. Solve by grouping! 
(3x2-15x)+(2x-10)
=3x(x-5)+2(x-5)
=(x-5)(3x+2)
-15 2
-13
4. Check answer:
(x-5)(3x+2)
3x2 -13x -10=(x-5)(3x+2)

6. Solve the x-box way Example: Factor 3x2 -13x -10 x -5 (3)(-10)= -30 3x
-15 2
-13 +2 2x
-10
3x2 -13x (x-5)(3x+2)

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

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

9. Examples 2. x2 - 9x + 20 Solution: x2 - 9x + 20 (x - 4)(x - 5) 20 20 -9
Solution: x2 - 9x + 20
(x - 4)(x - 5)

10. Examples 3. 2x2 - 5x – 7 2x -7 x Solution: 2x2 - 5x – 7
-14 -5 x
-7x
2x² +1 2x -7
Solution: 2x2 - 5x – 7
(2x - 7)(x + 1)

11. Examples 4. 15x2 + 7x – 2 3x +2 5x Solution: 15x2 + 7x – 2
-30 7 5x
15x²
10x -1
-3x -2
Solution: 15x2 + 7x – 2
(3x + 2)(5x - 1)

12. You Try
2x2 +3x –9
6x2 + x – 2
4x2 + 9x + 2

13. Partner Activity!
On the front side of your Factoring Practice are your questions. On the back side is the answer key for your partner.
Work on your own Factoring Practice worksheet and when you want to check your answer, do so with your partner.
Remember the purpose of this activity is to help each other to be able to solve the problems. Be good teachers! (Do not just give them the answers)
Work on for the time given and get as far as you can!