Quarter 1, Week 1- Day 1-Greatest common monomial Factor

Greatest common monomial Factor

1. Quarter 1, Week 1

2. + 4𝑥    Coefficient Variable Exponent Terms

3. + 4 𝑥    Coefficients Variables Exponent Terms

4. I n this lesson you are expected to learned: Identifies the common monomial factor of the given polynomials. Factors polynomial with common monomial factor. Appreciates the importance of factoring in real-life situation.

5. Factoring Polynomials with Common Monomial Factor Vocabulary List

6. Binomial – is an algebraic expression consisting of two terms.

7. Common factors 01 are factors that two or more numbers have in common.

8. Identify the common in the following: 1. 2, 4, 6 2. 3, 6, 9 3. 2x, 3x, 5x 4. 2a, 2b ,2c 5. 𝟐 𝒚, 𝟒𝒙𝒚 , 𝟖𝒙𝒚  

9. Factor – an exact divisor of a number

10. Factoring is the process of finding the factors of an expression which is the reversed process of multiplication.

11. Find the possible factors of the given number or expression below

12. Greatest Common Factor (GCF) is the greatest integer that is a factor of all the given integers

13. Identify the GCF in the following: 1. Find the GCF of 30 and 36. 2. Find the GCF of 4 and 10. 3. Find the GCF of 9 𝑎𝑛𝑑 27. 4. Find the GCF of 9, 12, 𝑎𝑛𝑑 18

14. Greatest Common Monomial Factor the greatest factor contained in every term of an algebraic expression

15. Identify the GCMF in the following: 1. Find the GCF of 9x and 36 . 2. Find the GCF of 4 𝑎𝑛𝑑 14 𝑚. 3. Find the GCF of 6 , 9 𝑦, 𝑎𝑛𝑑 15 𝑦   

16. Monomial Definition: A monomial is an algebraic expression with a single term.

17. Polynomial – a finite sum of terms each of which is a real number or the product of a numerical factor and one or more variable factors raised to a whole number power.

18. Prime Number – is a number greater than one which has only two positive factors: 1 and itself

19. Trinomial – an algebraic expression consisting of three terms.

20. Factoring by Greatest Common Monomial Factor 8th Grade

21. Observe and analyze the steps: Step 2: Divide each term by the GCF to get the other factor.  Step 1 : Find the greatest common factor (GCF) of the terms in the polynomial. This is the first factor.

22. Example 1: Consider the polynomial 6 +9x 1. Identify the common monomial factor: The greatest common factor (GCF) of 6 and 9x is 3x.  

23. Here, 3x is a monomial and it is the common factor for both terms. 2. Factor out the common monomial factor: 6 +9x=3x (2x) + 3x (3). This simplifies to 3x(2x+3).  

24. Factor the following polynomials 1. 6𝑥+ 3 x 2 2. 12 x 3 −18𝑥𝑦+24x 3. 28 x 3 z 2 −14 x 2 y 3 +36𝑦 z 4

25. Example: ROBS National High School has a rectangular garden with an area of 4 + 6 + 8𝑥. If the length of the rectangular garden is 2x, what is the width of the garden.  

26. A school needs to purchase supplies for its classrooms. Each classroom requires a certain number of notebooks and pens. Suppose there are 10 classrooms, and each classroom needs the following supplies: 12 notebooks 18 pens

27. Guided Questions: 1. What is a monomial? 2. How can we obtain the factors of polynomials using common monomial factor? 3. What is the importance of factoring polynomials in real life situation?

28. 4. 5y 2 + 10 5. 14p 2 + 21 1. ax 4 , -a 2 x 6 , a 3 x 2 2. 56x 2 , -4x, -12 3. abx 2 , - axz , bxy Find the GCF of the following monomials. Factor the following polynomials

29. “ What do you think is the amount of courage needed to make up for a shortcoming? ” Ano sa palagay mo ang halaga ng lakas ng loob na kailangan upang mapunuan ang isang kakulangan ?