This document contains notes from a mathematics lesson on multiplying polynomials. The key points covered are: 1. The learner recalls the laws of exponents and multiplies two binomials. 2. Examples are provided of multiplying polynomials using algebra tiles, the distributive property, the box method, and FOIL (First, Outer, Inner, Last). 3. Practice problems are given for students to multiply different binomial expressions.

1. Prepared by:
Teacher III
San Fernando South Central Integrated School
Tanqui, City of San Fernando, La Union

2. Notes:

3. The learner multiplies polynomials.
(M7AL-Iie-2)
The learner:
1. recalls the laws of exponents;
2. multiplies two binomials; and
3. appreciates polynomials as used in real-
life situations.

4. What did you learn during our previous
meeting, class
• Recall of the laws of exponents
• Multiplying two monomials
• Multiplying a monomial and a binomial

5. 1. Choose a number (a
positive integer) from 1
to 30.
2. Then tell if the number
appears in each of the
five cards to be shown.
3. The teacher gives the
secret number.

6. MENTAL MATH

11. 1. How did the teacher get the secret
number?
2. How is the process of addition used in
multiplying polynomials?

12. What are multiplied?
(𝟑𝒙 + 𝟐)(𝟐𝒙 − 𝟒)
Two binomials are multiplied.

14. Joanne Arnel Corazon Angeline
Rolyn Gemma Donalyn Buenaflor
Russel Vina Richard Rina
Michael Jinky
Two binomials are multiplied using a given
method. Study how the method works.

15. USING ALGEBRA TILES
Find the product: 𝑥 + 2 𝑥 − 2
= 𝑥2
+ 2𝑥 − 2𝑥 − 4
= 𝑥2 − 4

16. USING DISTRIBUTIVE PROPERTY
Find the product: (𝑥 + 3)(𝑥 + 2)

17. USING THE BOX METHOD
Find the product: 3𝑥 − 5 5𝑥 + 2
= 15𝑥2
−25𝑥 + 6𝑥 − 10
= 15𝑥2 −19𝑥 − 10

18. Find the product: (𝑥 + 3)(𝑥 + 2)
USING THE FOIL METHOD

19. Find the product: (3𝑥 + 2)(2𝑥 − 4)
1. Using Algebra Tiles
2. Using Distributive Property
3. Using Box Method
4. Using FOIL Method

20. Learner 1 Learner 2
1 Vina Joanne
2 Michael Rina
3 Corazon Buenaflor
4 Angelyn Jinky
5 Rolyn Richard
6 Gemma Donalyn
7 Arnel Russel

21. 1. What are some uses of polynomials?

22. 2. How do we use polynomials when we go to
the market?
𝟐𝒓 + 𝟑𝒔 + 𝒅 + 𝒑
3. What situations can you apply the learnings
we had?

23. How to multiply two binomials?
Writing Metacognition Statements
I know that I know how to ______________.
First, ______________________________.
Next, ______________________________.
After that, __________________________.
Then, _____________________________.
Finally, ____________________________.

24. Find the product of the given binomials.
1.(𝑥 + 3)(𝑥 − 5)
2. (3𝑥 + 5)(2𝑥 − 4)
3. (𝑥 + 4)(𝑦 + 5)
4. (𝑥2 − 4)(𝑥2 + 7)
5. (2𝑥2 + 1)(𝑥2 + 6)

25. Answer the following problems. Show your solution.
1. The length of the rectangle below is (2𝑥 − 3) and
the width is (𝑥 + 7). Find the area of the
rectangle in terms of 𝑥.
2. Find the area of the space between the two
rectangles.