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Multiplying of Polynomials

Multiplying of Polynomials. 1 st Semester of Class 8. SMP Negeri 1 Tebing Tinggi. Standard Competence:. Multiplying of Polynomials. ALGEBRA 1. Understanding Algebraic Form, Relation, Function, And Linear Equation 1. Memahami bentuk aljabar, relasi, fungsi, dan persamaan garis lurus.

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Multiplying of Polynomials

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  1. Multiplying of Polynomials 1st Semester of Class 8 SMP Negeri 1 Tebing Tinggi

  2. Standard Competence: Multiplying of Polynomials ALGEBRA 1. Understanding Algebraic Form, Relation, Function, And Linear Equation 1. Memahami bentuk aljabar, relasi, fungsi, dan persamaan garis lurus Basic Competence: 1.1. Doing Algebra Operation Melakukan operasi aljabar Indicator: • Solving multiplying, dividing and exponential operation of algebraic form • Menyelesaikan operasi kali, bagi dan pangkat pada bentuk aljabar

  3. Apperception Multiplying of Polynomials

  4. Matter 1 Animation: Multiplying of Polynomials 2. Find the result of (3x – 2) (2x – 6) 1. Find the result of (3x + 2) (x + 3) Solution: Solution: Method 1: Distributive Property Method 1: Distributive Property (3x + 2) (x + 3) = (3x – 2) (2x – 6) = = 3x (x + 3) = 3x (2x – 6) (2x – 6) + 2 (x + 3) – 2 = 3x2 + 9x + 2x + 6 = 6x2 – 18x – 4x + 12 = 3x2 + 11x + 6 = 6x2 – 22x + 12 Method 2: Direct Multiplication Method 2: Direct Multiplication (3x + 2)(x + 3) = (3x – 2)(2x – 6) = 3x2 6x2 + – 9x 18x 2x 4x + – + + 6 12 = 3x2 + 11x + 6 = 6x2 – 22x + 12

  5. Matter 2 Animation: Multiplying Binomials

  6. Matter 3 Animation: Multiplying of Polynomials

  7. Matter 4 Animation: Multiplying of Polynomials

  8. Exercise Multiplying of Polynomials 2. Define the result multiplying below: a. (2x + 3) (x – 4) b. (a + 3b) (a – 5b) c. (5m – 1) (2m + 4) d. (a – 3) (a2 + 4a + 5) e. (x + y) (3x2 + xy + 2y2) f. (3k – 5) (k2 + 2k – 6) g. (a + ab + b) (a – b) h. (x2 + 3x – 5) (x2 – 2x – 1) 1. Define the result multiplying below: a. 2(x + 4) b. –3(a – 2b) c. 5(3x + 2y – 6) d. –2a(a + 4b – 10) e. 4a2(–a + 2b + 5) f. 2xy(x – y – 4) g. –p2(p2 – 3p – 9) h. ½ (4x – 6y + 2)

  9. Evaluation 1 Evaluate Multiplying Polynomials 1 2 3 5 4 1. The result of (x + 2)(x + 4) = .... a. x2 + 2x + 8 c. x2 + 6x + 8 b. x2 + 4x + 8 d. x2 + 8x + 8

  10. Evaluation 2 Evaluate Multiplying Polynomials 1 2 3 5 4 2. The result of (a – 4) (2a + 3) = .... a. 2a2– 2a – 12 c. 2a2– 4a – 12 b. 2a2– 3a – 12 d. 2a2– 5a – 12

  11. Evaluation 3 Evaluate Multiplying Polynomials 1 2 3 5 4 3. The result of (x – 1)(3x – 4) = .... a. 3x2– 7x – 4 c. 3x2+ 7x – 4 b. 3x2– 7x + 4 d. 3x2+ 7x + 4

  12. Evaluation 4 Evaluate Multiplying Polynomials 1 2 3 5 4 4. The result of (2x + 6) (2x – 6) = .... a. 4x2 – 36 c. 4x2 – 12x – 36 b. 4x2 + 36 d. 4x2 – 24x – 36

  13. Evaluation 5 Evaluate Multiplying Polynomials 1 2 3 5 4 5. The result of (5m – 1)(2m + 4) = .... a. 10m2 + 18m + 4 c. 10m2 – 18m – 4 b. 10m2 – 18m + 4 d. 10m2 + 18m – 4

  14. Literature Multiplying of Polynomials • Reference: • CholikAdinawan, 2009, Math for Junior High School 2A, Erlangga Publisher. • Yong Ping Kiang, et al, 2010, Smart For Junior School Grade VII Mathematics, Erlangga Publisher. • Glencoe Mc Hill, 2008, California Mathematics, Concept Skill and Problem Solving, McGraw-Hill Companies. • Flash Media, Internet Resource Addition = penambahan Subtraction = pengurangan Monomial = suku 1 Binomial = suku 2 Trinomial = suku 3 Polynomials = suku banyak lebih dari 3 Term = suku Like term = suku sejenis Unlike term = bukan suku sejenis Variabel = peubah Algebraic form = bentuk aljabar Similar term = suku sejenis Combine = Gabungkan

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