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PerfectSquareTrinomial.pdf
- 1. MAY P. BUNDANG Factoring Perfect Square Trinomial MAY P. BUNDANG, MT II Zambales National HS
- 2. MAY P. BUNDANG Content Section: Patterns and Algebra Content Standard The learner demonstrates understanding of key concepts of factors and polynomials. Performance Standard The learner is able to formulate real-life problems involving factors and polynomials. Most Essential Learning Competency Factors completely different types of polynomials MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 3. MAY P. BUNDANG Purpose of the lesson Identify perfect square trinomial expressions Determine the square roots of perfect squares. Factor an expression completely. MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 4. Let us practice!! MAY P. BUNDANG MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 5. Task 1: Give the square root of the following perfect square numbers. MAY P. BUNDANG 1. 625 6. 144 11. 441 2. 400 7. 576 12. 256 3. 169 8. 324 13. 529 4. 484 9. 196 14. 121 5. 225 10. 289 15. 361 MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 6. MAY P. BUNDANG Answers: 1. 25 6. 12 11. 21 2. 20 7. 24 12. 16 3. 13 8. 18 13. 23 4. 24 9. 14 14. 11 5. 15 10. 17 15. 19 MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 7. Task 2: Determine whether the given expressions are perfect square trinomial or not a perfect square trinomial. MAY P. BUNDANG 1. x2 + 2x + 1 6. 121m2 198m + 81 2. 9x2 - 6x + 1 7. 2x2 + 17x + 21 3. x2 + 10x + 25 8. x2 - 13x + 36 4. x2 - 10x + 100 9. x2 - 8x + 49 5. 4x2 + 8x + 4 10. 5x2 5xy 180 x2 MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 8. MAY P. BUNDANG Answers: 1. perfect square trinomial 2. perfect square trinomial 3. perfect square trinomial 4. not perfect square trinomial 5. perfect square trinomial 6. perfect square trinomial 7. not perfect square trinomial 8. not perfect square trinomial 9. not perfect square trinomial 10. not perfect square trinomial
- 9. MAY P. BUNDANG Perfect Square Trinomial A perfect square trinomial is defined as an algebraic expression that is obtained by squaring a binomial expression. It is of the form ax2 + bx + c and satisfies the condition of b2 = 4ac. Here a, b, and c are real numbers and a 0.
- 10. MAY P. BUNDANG A perfect square trinomial must satisfy 3 conditions: 1. The first and last term must be perfect squares. 2. There must be no minus signs before the first and last term . 3. The middle term is twice the product of the square root of the first and the last terms. MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 11. Task 2: Identify whether the given expressions are perfect square trinomial or not a perfect square trinomial. MAY P. BUNDANG 1. x2 + 2x + 1 6. 121m2 198m + 81 2. 9x2 - 6x + 1 7. 2x2 + 17x + 21 3. x2 + 10x + 25 8. x2 - 13x + 36 4. x2 - 10x + 100 9. x2 - 8x + 49 5. 4x2 + 8x + 4 10. 5x2 5xy 180 x2 MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 12. MAY P. BUNDANG Steps in Factoring Perfect Square Trinomials 1. Verify if the first and last terms are perfect squares. 2. Check if the coefficient of the middle term is twice the product of the square root of the last term and the square root of the coefficient of the first term. 3. Write the expression as a square of a binomial. MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 13. MAY P. BUNDANG Task 3: Factor the given expressions: 1. x2 - 12x + 36 2. 64x2 - 16x + 1 3. 49x2 - 42x + 9 4. 4x2 - 60x + 225 5. 121m2 198m + 81 6. 144a2 - 240ax + 100x2 7. 289x2 - 238x + 49 8. 400b2 + 80bc + 4c2 9. 27t2 - 36t + 12 10. 5x2 60xy + 180y2 MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 14. MAY P. BUNDANG Answers: 1. x2 - 12x + 36 = ( 6)2 2. 64x2 - 16x + 1 = (8 1)2 3. 49x2 - 42x + 9 = (7 3)2 4. 4y2 + 60y + 225 = (2 + 15)2 5. 121m2 + 198m + 81 = (11 + 9)2 MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 15. Answers: MAY P. BUNDANG 6. 144a2 - 240ax + 100x2 = (12 10)2 7. 289x2 - 238x + 49 = (17 7)2 8. 400b2 + 80bc + 4c2 = (20 + 2)2 9. 27t2 - 36t + 12 = 3(3 2)2 10. 5x2 60xy + 180y2 = 5( + 6)2
- 16. MAY P. BUNDANG 1. x2 y2 - 6xy + 9 6. 144a2 + 48a + 4 2. c2 - 12c + 36 7. 25x2 200xy + 400y2 3. 9m2 24mn + 16n2 8. 196 + 28b + b2 4. 36s2 + 84s + 49 9. 49m2 - 210my + 225y2 5. 4x2 - 28x + 49 10. 100w2 360we+ 324e2 Task 4: Factor the given expressions: MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 17. Answers: MAY P. BUNDANG 1. (xy + 3)2 2. (c 6)2 3. (3m 4n)2 4. (6s + 7)2 5. (2x + 7)2 6. (12a + 2)2 7. (5x 20y)2 8. (14 + b)2 9. (7m 15y)2 10. (10w 18e)2 MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 18. MAY P. BUNDANG 1. What is a perfect square trinomial? 2. What is the condition that must be satisfied to determine if a trinomial is a perfect square? 3. How do we factor perfect square trinomial? Answer the following questions. MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 19. MAY P. BUNDANG Assignment: Fill in the blank to make the trinomial a perfect square. 1. ____ x2 - 10x + 1 2. x2 + ____ x + 81 3. 4x2 - ____ x + 121 4. 9x2 - 48x + ____ 6. ____ x2 - 40x + 100 7. 25x2 - 90x + ____ 8. 16 ____ + ____ xy + 25y2 9. ____ 4 - 102____ + 2894 10. ____ 2 - 144____ + 3246 MAY P. BUNDANG, MT II ZAMBALES NATIONAL HS QUARTER 1- FACTORING
- 20. Thank You!!! MAY P. BUNDANG