1. Warm Up
Find the GFC of this set of monomials. 15x2y5 and 24x7y3
The GFC is 3x2y3

2. Warm up
Grade homework
Vocabulary and notes for section 7-2
Assignment 7-2

3. Introducing…. Unit 7 vocabulary!
x2 + 6x
Break a polynomial up into its prime factors
x (x +6)

4. Lesson 7.2 Learning Target
I can factor polynomials by dividing out a GCF
(greatest common factors)

5. FIRST METHOD
Factoring polynomials with boxes

6. Factoring polynomials with boxes
First method:
Factoring polynomials with boxes
EXAMPLE 1: Factor 4x + 8
Make a rectangle with two boxes, putting each term in its own box
2. Label the width with the GCF of the terms x 2
Answer: 4 (x + 2) 4x 8 4

7. Factoring polynomials with boxes
EXAMPLE 2: Factor x2 – 5x
Make a rectangle using these terms x
- 5 x2
-5x
Answer: x (x - 5) x

8. Factoring polynomials with boxes
EXAMPLE 3: Factor 2x3 – 4x2 + 6x
Make a rectangle using these terms x2
- 2x 3
2x3
-4x2 6x 2x
Answer: 2x (x2 – 2x + 3)

9. SECOND METHOD
Factoring polynomials with reverse distributive property

10. Factoring polynomials with “reverse” distributive property
Second method:
Factoring polynomials with “reverse” distributive property
Ex 4: Factor 6x + 3
What is the GCF of both terms?
GCF
The GCF goes in front of the ( )
3 ( )
2x + 1
After dividing, the result goes inside the ( )
Answer !
Ex 5: Factor 16xz – 40xz2
GCF
8xz ( )
2 – 5z 6x 3

11. Are you a master? Factor each: 1) 9x2 + 36x 4) 10x2 – 15xy2 + 20xy
5x(2x – 3y2 + 4y )
9x ( x + 4)
2) 5x2z – 40 xz2
5xz ( x – 8z)
3) 24m2np2 + 36m2n2p
12m2np ( 2p + 3n)

12. Assignment 7-2