Multiplying Polynomials: Two Binomials
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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.
Multiplying Polynomials: Two Binomials
- 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? (đđ + đ)(đđ â đ) 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: đĽ + 2 đĽ â 2 = đĽ2 + 2đĽ â 2đĽ â 4 = đĽ2 â 4
- 16. USING DISTRIBUTIVE PROPERTY Find the product: (đĽ + 3)(đĽ + 2)
- 17. USING THE BOX METHOD Find the product: 3đĽ â 5 5đĽ + 2 = 15đĽ2 â25đĽ + 6đĽ â 10 = 15đĽ2 â19đĽ â 10
- 18. Find the product: (đĽ + 3)(đĽ + 2) USING THE FOIL METHOD
- 19. Find the product: (3đĽ + 2)(2đĽ â 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? đđ + đđ + đ + đ 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.(đĽ + 3)(đĽ â 5) 2. (3đĽ + 5)(2đĽ â 4) 3. (đĽ + 4)(đŚ + 5) 4. (đĽ2 â 4)(đĽ2 + 7) 5. (2đĽ2 + 1)(đĽ2 + 6)
- 25. Answer the following problems. Show your solution. 1. The length of the rectangle below is (2đĽ â 3) and the width is (đĽ + 7). Find the area of the rectangle in terms of đĽ. 2. Find the area of the space between the two rectangles.