1. Guns n' Roses - November rain
Teach me how to factor

6. Ingredients
2 cups peeled, cooked sweet potatoes 1 1/4 cups sugar 1/2 stick melted butter 2 eggs 1 teaspoon vanilla extract 1/4 teaspoon salt 1/4 teaspoon ground cinnamon 1/4 teaspoon ground ginger 1 cup milk 9-inch unbaked pie crust 3 egg whites
DIRECTIONS:

7. Sweet Potato Pie

9. Unit 5 – Algebra in Context
Word Wall

10. Perfect Squares …

11. Square Numbers
1 x 1 = 1
2 x 2 =
3 x 3 = 9
4 x 4 = 16
5 x 5 =
6 x 6 = 36
7 x 7 =
8 x 8 =
9 x 9 = 81
10 x 10 = 100
11 x 11 =
12 x 12 = 144
13 x 13 =
14 x 14 =
15 x 15 =

12. F.O.I.L. (x + 4)(x + 1) = (3x - 4)(x - 5) = (x + 6)(x - 6) =
Use the FOIL method to multiply these binomials:
Example: (z+1)(z+2) = z2 + 2z + 1z + 2 = z2 + 3z + 2
(x + 4)(x + 1) =
(3x - 4)(x - 5) =
(x + 6)(x - 6) =
(c - 2)(2c + 5) =
(w - 3)(w2 + 2w - 3)
Super-size it

13. UN-F.O.I.L. x2 +5x +4 = (x + 4)(x + 1) so x2 +5x - 6 =

14. Solving
Quadratic Equations

15. Solving Quadratic Equations
1. Write equation in standard form.
ax2 + bx + c = 0
(a, b, c are real numbers and a0)
2. Factor polynomial completely.
3. Set each factor equal to zero, using
‘Zero Product Property’.
If xy = 0, then x=0 or y=0 (or both)
4. Solve resulting equations.

16. Solve: (x – 5)(x + 7) = 0 x – 5 = 0 , x + 7 = 0 +5 +5 –7 –7 x = 5A
Solve: (x – 5)(x + 7) = 0
Step 1:
Let each factor equal 0
x – 5 = 0 ,
x + 7 = 0
– –7
Step 2:
Solve each equation
x = 5
x = –7

17. , Solve: (x + 8)(x – 9) = 0 x + 8 = 0 x – 9 = 0 –8 –8 +9 +9 x = –8B
Solve: (x + 8)(x – 9) = 0
Step 1:
Let each factor equal 0
x + 8 = 0 ,
x – 9 = 0
–8 –8
Step 2:
Solve each equation
x = –8
x = 9

18. Solve: x(x – 3) = 0 x = 0 , x – 3 = 0 +3 +3 x = 0 x = 3 C Step 1:
Let each factor equal 0
x = 0 ,
x – 3 = 0
Step 2:
Solve each equation
x = 0
x = 3

19. Solve: x2 + 2x – 8 = 0 (x + 4)(x – 2) = 0 x + 4 = 0 , x – 2 = 0 –4 –4D
Solve: x2 + 2x – 8 = 0
(x + 4)(x – 2) = 0
Step 1: Factor completely
Step 2:
Let each factor equal 0
x + 4 = 0 ,
x – 2 = 0
–4 –4
Step 3:
Solve each equation
x = –4
x = 2

20. Solve: x2 – 25 = 0 (x + 5)(x – 5) = 0 x + 5 = 0 x – 5 = 0 x = –5 x = 5
Step 1: Factor completely
Step 2:
Let each factor equal 0
x + 5 = 0 ,
x – 5 = 0
–5 –5
Step 3:
Solve each equation
x = –5
x = 5

21. Solve: x2 = –2x + 8 x2 + 2x – 8 = 0 (x + 4)(x – 2) = 0 x + 4 = 0 ,F
Solve: x2 = –2x + 8
Step 1: Write in standard form.
Move –2x and +8 to left side
of equation. Change the signs.
x2 + 2x – 8 = 0
(x + 4)(x – 2) = 0
Step 2: Factor completely
Step 3:
Let each factor equal 0
x + 4 = 0 ,
x – 2 = 0
–4 –4
Step 4:
Solve each equation
x = –4
x = 2

22. Solve: x2 = 3x x2 – 3x = 0 x(x – 3) = 0 x = 0 , x – 3 = 0 +3 +3 x = 0G
Solve: x2 = 3x
Step 1: Write in standard form.
Move 12x to left side of the
equation. Change the sign.
x2 – 3x = 0
x(x – 3) = 0
Step 2: Factor completely
Step 3:
Let each factor equal 0
x = 0 ,
x – 3 = 0
Step 4:
Solve each equation
x = 0
x = 3

23. Solving quadratic equations using Square Root Property
a is a positive number

24. Use square root propertyH
Solve: x2 = 9
Use square root property
This means x = –3 and x = 3

25. Use square root property
Solve: x2 = 12 I
Use square root property

26. Use square root propertyJ
Solve the equation
Use square root property

27. Use square root propertyK
Solve the equation
Divide both sides by 6
Use square root property

28. Use square root propertyL
Solve the equation
3x2 – 33 = 0
Add 33 to both sides
3x = 33
Divide both sides by 3
x2 = 11
Use square root property