1. Factoring Polynomials Part I.pptx; Mathematics 8

Factoring Polynomial

1. Quarter 1 MATHEMATICS 8 Mrs. Anne R. Rabino-Mesana

2. Factoring Polynomials G - Greatest C - Common M - Monomial F - Factor Quarter 1: Lesson 1

3. Observe… What is common in the given pictures?

4. Observe… What is common in the given pictures?

5. What is common in: 2, 4, 6

6. Factors of 2, 4 and 6 2- 4- 6- 1, 2 1, 2, 4 1, 2, 3, 6 What is their common factor aside from 1?

7. Observe x, 2x, 3x, 4x

8. Greatest Common Factor (GCF)

9. Ways of finding the GCF: Prime Factorization GrEAtEst COMMON FACTOR (GCF) Example: Find the GCF of 8 and 12     GCF=  

10. 1. 16 and 48 Example Find the GCF of: 2. 15 and 21 3. 24 and 36

11. What is the GCF of ?   GrEAtEst COMMON FACTOR (GCF) Answer:   What is the GCF of ?   Answer:  

12. The word “POLYNOMIAL” comes from Latin Greek words: Poly (many) and Nomen (name or term) POLYNOMIAL According to the Compact Oxford English Dictionary

13. -An algebraic expression that shows a sum/difference of two or more terms containing whole number exponents on the variable . POLYNOMIAL According to the Compact Oxford English Dictionary

14. A variable is a symbol which represents an unknown value . VARIABLE

15. A symbol or a number with a fixed value . CONSTANTS

16. EXAMPLE OF POLYNOMIAL   This is a polynomial since the variables have no negative (all positive) exponents.

17. EXAMPLE OF POLYNOMIAL   How many terms do we have? Numerical Coefficient Literal Coefficient Exponent Constant

18. GCF: NUMERICAL COEFFICIENTS WITH LITERAL COEFFICIENTS        

19. 1.   Example Find the GCF of: 2.   3.  

20. Is used to find the Greatest Common Factor of the given pair of monomials. PRIME FACTORIZATION

21. 4.   Find the GCF 5 .     3. ,    

22. Greatest Common Monomial Factor Factoring

23. Example   Factor the Polynomial GCMF=   GCMF   Other Factor   Factored Form

24. Example   Factor the Polynomial GCMF Other Factor Factored Form

25. Example   Factor the Polynomial GCMF Other Factor Factored Form

26. Is often called as the reverse process of multiplying polynomials, where we write a polynomial as a product of two or more simpler polynomials FACTORING

27. Exercises:   Factor the Polynomial GCMF Other Factor Factored Form

28. Exercises:   Factor the Polynomial GCMF Other Factor Factored Form

29. QUIZ:   Factor the Polynomial GCMF Other Factor Factored Form

30. QUIZ:   Factor the Polynomial GCMF Other Factor Factored Form

31. QUIZ:   Factor the Polynomial GCMF Other Factor Factored Form

32. Let us have a great school year together!

33. QUIZ: Complete the table Polynomial GCMF Other Factor Factored Form Polynomial GCMF Other Factor Factored Form