1. To be able to factor Quadratic equations.
Objective #2
To be able to factor Quadratic equations.

2. Find the area of the rectangle
Area = Length * Width
Find the area of the rectangle 1 1 1 1 x x 1 1 1

3. (x + 3)(x + 4) x2 + 4x + 3x + 12 x2 + 7x + 12 1 1 1 1 x 4x x x^2 1 1

4. Now Factor
x2 + 7x + 12
Find two numbers that Multiply to = 12 and add up to 7.
Draw the ( )( )
(x + __)(x + __)

5. Notice that: 3  4 = 12 and that 3 + 4 = 7
Now Factor
x2 + 7x + 12
(x + )(x ) 3 4
Notice that: 3  4 = 12 and that = 7

6. Check using FOIL
(x + 3)(x + 4)
x2 + 4x + 3x + 12
x2 + 7x + 12

7. Find the same two numbers that multiply to equal -10 and add up to 3= 5 -2 . 3 -2 = 5 +

8. Now Factor
x2 + 3x - 10
Use the two Numbers that multiply to = -10 and add up to 3
(x + 5)(x - 2)

9. Check using FOIL
(x + 5)(x - 2)
x2 - 2x + 5x - 10
x2 + 3x - 10

10. Rules
Your
Turn
1.) When it says you are to show your work on a separate piece of paper including the checks.
2.) Do the worksheet when you see

11. Find the same two numbers that multiply to equal 6 and add up to 5
Your
Turn
Figure it out
before you click
You thought
I was kidding 6 = 3 2 . 5 2 = 3 +

12. Now Factor
Your Turn
x2 + 5x + 6
Do the problem
on your paper
FIRST

13. Now Factor x2 + 5x + 6 (x + 3)(x + 2) Check (x + 3)(x + 2) Your Turn
Do the problem
on your paper
FIRST

14. Now Factor x2 + 5x + 6 (x + 3)(x + 2) Check (x + 3)(x + 2)
Your Turn
x2 + 5x + 6
(x + 3)(x + 2)
Check (x + 3)(x + 2)
x2 + 2x + 3x + 6
x2 + 5x + 6

15. Factor x2 - 7x + 12 (x - 3)(x - 4) Check…. (x - 3)(x - 4)
Your Turn
x2 - 7x + 12
(x - 3)(x - 4)
Check…. (x - 3)(x - 4)
x2 - 4x - 3x + 12

16. Factor x2 - 3x - 10 (x - 5)(x + 2) Check…. (x - 5)(x + 2)
Your Turn
x2 - 3x - 10
(x - 5)(x + 2)
Check…. (x - 5)(x + 2)
x2 - 5x + 2x - 10

17. Factor 2x2 + 8x + 8 First factor out the GCF (2) 2(x2 + 4x + 4)…..Then

18. Number you paper from 1 to 12.

19. Find the 2 numbers that multiply to ____ and add up to ___
1.) multiply 3 add 4
2.) multiply 8 add 6
3.) multiply 12 add -8

20. Find the 2 numbers that multiply to ____ and add up to ___
4.) multiply 16 add 17
5.) multiply 24 add -11
6.) multiply -24 add -10

21. Now Factor
Your Turn
7.) a2 + 4a + 3
8.) x2 + 6x + 8
9.) a2 - 8a + 12

22. Now Factor 10.) x2 + 26x + 25 11.) a2 - 8a + 16 12.)2x2 + 12x +16
Your Turn

23. (a + 1)(a + 3) Check your Answers (a - 6)(a - 2) 7.) a2 + 4a + 3
8.) x2 + 6x + 8
(x + 4)(x + 2)
9.) a2 - 8a + 12
(a - 6)(a - 2)
Check your Answers

24. Check your Answers 10.) x2 + 26x + 25 (x + 25)(x + 1)
11.) a2 - 8a + 16
(a - 4)(a - 4) = (a - 4)2
12.)2x2 + 12x +16
2(x2+ 6x + 8)
2(x + 4)(x + 2)
Check your Answers

25. Classwork
Booklet
Pg. 171
Middle Column