Trece Martires City National High School – Conchu Annex
Ciudad Adelina, Brgy. Conchu, Trece Martires City
LEARNING ACTIVITY SHEETS IN MATHEMATICS 8
FACTORING POLYNOMIALS (WEEK 1)
Name: ___________________________________________________________________________Score:____________________________
Year and Section: ________________________________________________________________Date Submitted: _________________
Learning Competency with Code:
Factors completely different types of polynomials (polynomials with common monomial factor, difference of two squares, sum
and difference of two cubes, perfect square trinomials, and general trinomials). M8AL-Ia-b-1
Directions/Instructions:
Factor the following completely. Use different factoring methods. Use separate sheets if needed.
ACTIVITY 1
A. FACTORING USING COMMON MONOMIAL FACTOR or CMF
Who I am?
Question: What fruit is the main product of Tagaytay City?
You will match the products in Column A with the factors in Column B to decode the answer.
ACTIVITY 2
B. FACTORING DIFFERENCE OF TWO SQUARES
Factor each of the following:
1. c² - d² = ____________________
2. 1 - a² = _____________________
3. 9 - 4c² = ____________________
4. 16x² - 4 = ____________________
5. a²b² - 144 = __________________
ACTIVITY 3
C. FACTORING SUM AND DIFFERENCE OF TWO CUBES
WHO I AM?
What specific municipality in Cavite took its name from a myth of “biglang tumubo” or “biglang sumilang”? Factor the given
expressions in Column A and locate the answer in column B. Write the corresponding letter of the answer in the boxes provided below.
COLUMN A COLUMN B
1. x + 125
3 A (u + 2)(u2 - 2u + 4)
2. x3 - 64 N (x - 3)(x2 + 3x + 9)
3. a + 64
3 G (5 - x)(25 + 5x + x2)
4. u3 + 8 I (x - 4)(x2 + 4x + 16)
5. 1 - a3 S (x + 5)(x2 - 5x + 25)
6. a + 125
3 L (a + 4)(a2 - 4a + 16)
1 2 3 4 5 6
Note: Practice Personal Hygiene Protocols at all times.
If you have any questions, feel free to contact me thru Facebook messenger: Hazel Anne Forjedo Abarentos
ACTIVITY 4
D. FACTORING PERFECT SQUARE TRINOMIAL
Supply the missing term to make a true statement.
1. 4n2 + 4n + 1
= (2n + ___)2
2. d2 – 6d + 9
= (d – ___)2
3. a4b2 – 2a2bc + c2
= (a2b - ___)2
4. 4x2 + 24xy + 36y2
= (___+ 6y )2
5. 49f2 – 28f + 4
= ( 7f - ___)2
ACTIVITY 5
E. FACTORING GENERAL TRINOMIALS
Complete the table below.
Match the places in column A with their products in column B by factoring the given quadratic trinomials represented by
each place. Write ONLY THE LETTTER of your answer on the space provided before each number.
Answer COLUMN A COLUMN B
1. Alfonso: 2x2 –5x + 2 a. Jacobina: (d + 4)(3d - 1)
2. Amadeo: 5x2 –13x - 6 b. Cacao: (k - 4)(2k - 3)
3. Indang: 6k2 +13k + 6 c. Tablea: (2x - 1)(x - 2)
4. Tagaytay: 3d2 +11d - 4 d. Kapeng Barako: (x - 3)(5x + 2)
5. Silang: 2k2 –11k + 12 e. Kalamay: (k + 2)(6k + 3)
Guide Questions:
a. Were you able to answer each activity? ____________________________________________________________
_______________________________________________________________________________________________
b. How did you find the activity? ___________________________________________________________________
_______________________________________________________________________________________________
c. In what part did you encounter difficulties? ________________________________________________________
_______________________________________________________________________________________________
d. As of this moment, can you determine the appropriate factoring methods and be able to factor out the
given polynomials completely? ___________________________________________________________________
_______________________________________________________________________________________________
Closure:
This weeks’ goal is to factor different products through the use of different patterns and rules. Factoring methods that
you have learned are:
· Factoring by greatest common monomial factor
· Factoring of difference of two squares
· Factoring sum and difference of two cubes
· Factoring perfect square trinomials
· Factoring general trinomials
Prepared by:
Hazel Anne F. Abarentos
Mathematics 8 Teacher
Note: Practice Personal Hygiene Protocols at all times.
If you have any questions, feel free to contact me thru Facebook messenger: Hazel Anne Forjedo Abarentos
