1. Warm UP Find the GFC of the terms 4b 4b ( ? - ?) Answer: 4b(b - 2 )
Factor 4b2 -8b
Find the GFC of the terms 4b
4b ( ? - ?)
Answer: 4b(b - 2 )

2. Agenda Warm up Check Homework Vocabulary and notes for section 7-4a
Assignment 7-4a

3. Introducing…section 7.4a vocab!
If a·b = 0
If two terms are multiplied
and the product is zero then
at least one of the terms is zero
Then either a = 0
or b = 0
ax2 + bx + c = 0
highest exponent is 2

4. Lesson 7.4a Learning Target:
Solve equations using your factoring skills.
= sign means to solve!!!

5. Solving Steps: Set equation equal to zero Factor
Set each factor equal to zero
Solve each mini equation

6. Example 1 (a + 6)(3a – 7) = 0 already factored
Set equation equal to zero
Factor
Set each factor equal to zero
(a + 6) = (3a – 7) = 0
a = a = 7
4. Solve each mini equation
a = a = 7/3

7. Example 2 Solve 14x2 = -21x 14x2 + 21x = 0 2. 7x(2x + 3) = 0

8. Example 3: Solve y2 = 4y y2 = 4y y2 – 4y = 0 y ( y – 4) = 0
1. Set the equation equal to zero
y2 = 4y
- 4y - 4y
y2 – 4y = 0
2. Factor
y ( y – 4) = 0
or ( y – 4) = 0
3. Set each factor equal to zero
y = 0
y = 0
Or y = 4
4. Solve each mini equation

9. Are you a master? Solve 9x2 = -3x
Set the equation equal to zero
9x2 = -3x
+3x x
9x2 + 3x = 0
2. factor…
On the next slide….

10. Step 2 factor: x2 + 3x = 0
Find the GFC 3x
Answer: 3x(x + 3) = 0

11. Ex 3 continued solve 9x2 + 3x = 0
1. Set the equation equal to zero
Already done!
3x (3x + 1) = 0
2. Factor
(3x + 1) = 0
3x= 0
3. Set each factor equal to zero
/ /3
4. Solve each mini equation
x = 0
Or 3x = -1
x = -1/3

12. What’s the deal with these?
1. x – 6 = 0 has how many answers?
2. x2 – 4x + 3 = 0 has how many answers?

13. Factor completely and solve.
Practice
Factor completely and solve.
1. 8x2 – 2x = (y-3)(y+2)= 0
2. 9x2 = 27x x( x - 7) = 0
2x(4x – 1) = 0
y = 3 or -2
x = 0 or 1/4
x = 0 or 7
9x2 – 27x = 0
9x(x – 3) = 0
x = 0 or 3

14. Assignment 7-4a: