Commmon

1. COMMON MONOMIAL FACTORING
Lesson 1 | Week 1

2. LEARNING COMPETENCIES
At the end of the lesson, I will be able to
1. factor completely polynomials with common
monomial factors; and
2. solve problems involving factors of polynomials
3. Find the GCF of the following polynomials.
4. Factor the following polynomials.

3. REVIEW
FIND THE GCF OF THE FOLLOWING
2 and 4

4. REVIEW
FIND THE GCF OF THE FOLLOWING
16 and 20

5. REVIEW
FIND THE GCF OF THE FOLLOWING
21 and 7

6. REVIEW
FIND THE GCF OF THE FOLLOWING
9 and 8

7. REVIEW
FIND THE GCF OF THE FOLLOWING
50, 28, and 32

8. Greatest Common Factor(GCF)
•The largest integer, monomial or multinomial
that a set of numbers or polynomials have in
common.

9. FACTORING
What is factoring? What is a factor?

10. FACTORING
 Process of getting a “factor”
 Reverse of multiplication
 Used in solving quadratic equations, simplifying
rational expressions, and graphing quadratic
functions
 if the common factor is 1, the polynomial is
completely factored

11. COMMON MONOMIAL FACTORING
 Factoring technique – factor is a monomial
 Concept of Greatest Common Factor (GCF)

12. COMMON MONOMIAL FACTORING
STEPS
1. Find the GCF
2. Divide the given expression using the GCF
3. Write: (GCF)(Quotient)

13. COMMON MONOMIAL FACTORING
Numerical concept:
10

14. GCF WITH VARIABLES
Example:
Find the GCF of , and

15. GCF WITH VARIABLES
Example:
Find the GCF of , , and

16. CMF EXAMPLES
Factor

17. CMF EXAMPLES
Factor

18. CMF EXAMPLES
Factor

19. CMF EXAMPLES (SPECIAL TYPE)
Factor

20. CMF EXAMPLES (SPECIAL TYPE)
Factor

21. CMF EXAMPLES (SPECIAL TYPE)
Factor

22. CMF EXAMPLES (SPECIAL TYPE)
Factor

23. CMF EXAMPLES (SPECIAL TYPE)
The area of a rectangular lot is
Find the possible expression for its dimension

24. SUMMARY
Factoring – process of getting the “bits” of an
expression
Common Monomial Factoring – technique used to find
a monomial factor of an expression
STEPS:
1. Find the GCF
2. Divide the given expression using the GCF
3. Write: (GCF)(quotient)

25. Find the GCF of the following:
1. and
2. , , and
3. , , and 10
Factor the following:
4.
5.
6.
7.

26. QUIZ 1
 15 items
 2 points each
 Time limit: 30 minutes