Factorization by Extracting Common Factors, Factorization by grouping terms
1. The process of writing an algebraic expression as a product of its factors is called factorization or factoring:
- 600 = 2x2x2x3x5x5
- ax + ay = a(x+ y)
- 15a + 20b = 5(3a) + 5(4b)=5(3a + 4b)
- 24ax – 40ay + 8a = (8a)(3x) – (8a)(5y) + (8a)(1) = 8a(3x – 5y + 1)
2. Factorization by grouping
- 12ax – 3ay + 8bx -2by
= (12ax -3ay) + (8bx -2by)
= 3a(4x-y) +2b(4x -y)
=(3a + 2b)(4x-y)
- 49a + 42c -7ay -6cy
= (49a -7ay) + (42c – 6cy)
= 7a(7 – y) + 6c(7 – y)
= (7a + 6c)(7 – y)
3. Home Work:
- Handout:
- two pages
- Workbook:
- page 22: 7, 8
- Page 24: 16, 17, 18, 20
- Page 26: 26, 27, 28, 29
- Hand out the report card for Fall 2019