Geometry Guided Notes Multiplying Binomials: 1. Distribute one term all the way through 2. Multiply the second term all the way through 3. Simplify Examples: Simplify each product. 1. (x + 7) (x -1) 2. (3x -2) (4x +12) 3. Find each product. a) (x + 1)2 b) (5x + y)2 c) (2x - 1)(2x + 1) 4. Write an expression to describe the area of the shaded region. 5. Find the GCF of the terms of 4x3 + 12x2 -8x. Then factor. Ask yourself: What do all these terms have in common? Factoring is like the opposite of distributing. 6. Factor each polynomial. a) 2x + 12 b) 2x-2 c) 6x4 + 18x2 d) 8x2 + 16x - 2 Multiplying Binomials: 1. Distribute one term all the way through 2. Multiply the second term all the way through 3. Simplify Examples: Simplify each product. 1. (x + 7) (x -1) 2. (3x -2) (4x +12) 3. Find each product. a) (x + 1)2 b) (5x + y)2 c) (2x - 1)(2x + 1) 4. Write an expression to describe the area of the shaded region. 5. Find the GCF of the terms of 4x3 + 12x2 -8x. Then factor. Ask yourself: What do all these terms have in common? Factoring is like the opposite of distributing. 6. Factor each polynomial. a) 2x + 12 b) 2x-2 c) 6x4 + 18x2 d) 8x2 + 16x - 2