factoring

1. Subtitle
BOBBIE M. TOLENTINO
SST – III MATH

2. EXPECTATIONS
Factor completely different types of polynomials:
(a.) polynomials with Common Monomial Factors,
(b.) difference of two squares, and
(c.) sums & difference of two cubes (M8AL- Ia-b-1).

3. FACTORING
COMMON MONOMIAL FACTOR

4. FACTORING
The process of finding the FACTORS
of a mathematical expression is called
factoring, which is the opposite process
of the multiplication.

5. Factoring Common Monomial
Factor
The factor contained in every term
An exact divisor of a number
A mathematical expression
consisting of one term

6. Picture 1

7. Picture 2

8. Finding Common
Soap
Face cream
Fragrance
Mists
Soap
Face cream
Deodorant
Common Difference
Soap
Face Cream
Fragrance Mists
Deodorant

9. FACTORING
COMMON MONOMIAL FACTOR

11. What is the product of x and x?

12. What are the factors of x²?

13. Give the product of 3x and 4x.

14. Factors of 12x².

15. What is your observation from the
given examples?

16. Finding Factors of Polynomials
Factor
f
e
d
e
d 6
3
4
2
10
15 

17. Finding Factors of Polynomials
Factor
6
4
18
12 j
j 

18. Activity 3: Generalization
Directions: Answer the following questions in your own words.
Write your answer on the space provided.
1.What is Factoring?
2.Describe Common Monomial Factor.
3.How can we obtain the CMF?
4.What is the next step after finding the CMF?
5.What is the factored form of the expression consisting
of?

19. Example 2:
In a birthday party of Keeno, how many ways can a
clown distribute 8 balloons to six different children. If
each child gets one balloon?
Solutions :
There are 8 choices for the first child, 7 choices for the second child, 6 choices
for the third child, 5 choices to the fourth child, 4 choices for the fifth child, and 3
choices for the sixth child.
5 4 3 20,160
x x =
There are 20,160 possible ways
8 7 6
x x x

20. Example 3:
If there are 12 doors to a room, in how many ways can
a person enter one door and leave by a different door?
Solutions :
12 choices to enter and 11 choices to exit.
132
=
There are 132 possible ways
12 11
x

22. Test Yourself:

24. THANK YOU VERY MUCH!!!
Bobbie M. Tolentino