Mini-Lecture 6.5: Factoring Binomials - Edubirdie

University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

92

Pages:

1
Author:

emplanasf3fe

Mini-Lecture 6.5 Factoring Binomials Learning Objectives: 1. Factor the difference of two squares. 2. Factor the sum or difference of two cubes. Examples: 1. Factor each binomial completely. a) x 2 − 9 b) x 2 − 25 c) d) 4a 2 − 9 e) 49 x 2 − 1 f) 9a 2 + 16b 2 1 2 x −1 4 2. Factor each sum or difference of two cubes completely. y 2 − 64 9 2 a 25 g) 36m2 − 100n2 h) i) 64 − a) 8x3 +1 b) a3 − 1 c. 64 x3 + 27 y 3 d) 54 y 4 − 2 y e) 125b5 + b2 f) a6 − 1 Teaching Notes: • • • Some students will have a better understanding of a difference of two squares if they are first shown 3a) and 3b) with a middle term of 0x. Encourage students to become proficient with special case factoring as it will be important for future algebra topics such as completing the square. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) (x+3)(x-3); 1b) (x+5)(x-5); 1c) (y+8)(y-8); 1d) (2a+3)(2a-3); 1e) (7x+1)(7x-1); 1f) cannot be factored; 1g) (6m+10n)(6m-10n); 1h) (1/2x+1)(1/2x-1); 1i) (8+3/5a)(8-3/5a); 2a) (2x + 1)(4x2 -2x+1); 2b) (a – 1)(a2+a+1); 2c) (4x + 3y)(16x2-12xy+9y2); 2d) 2y(3y-1)(9y2+3y+1); 2e) b2(5b+1)(25b2-5b+1); 2f) (a2-1)(a4+a2+1)

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