1. Greatest Common Factors and Factoring by Grouping
Chapter 5 Section 3
Greatest Common Factors and Factoring by Grouping

2. Distributive Property
5x(x + 3)
Answer: 5x2 + 15
This instruction is to multiply, simplify
Reverse
5x2 + 15
Answer: 5x(x + 3)
Instructions: Factor

3. Observe Factor: 5x2 + 15 Answer: 5x(x + 3)
5x is the greatest common factor

4. Try
21x2 + 28
9x – 15

5. Factor the greatest common factor
a) b) c) - 4x + 12 d) 4(x + 3) + a(x + 3)

6. Try these
Look careful
2(x – 7) + 9x(x – 7)
5y(a – c) – (a – c)

7. Multiply
-3(x + 7)
-2x(xy + 5)

8. Factor by Grouping Four or more terms x3 – 5x2 + 3x – 15
Group by two’s
(x3 – 5x2) + (3x – 15)
Factor the common factor

9. Factor by Grouping
e) f) g)