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Expanding Binomials: FOIL Alex Haywood Steven Prentice Review of Yesterday Multiplicative Identity: The product of any number and one is that number. (a * 1) = a and (1 * a) = a. Example: (5 * 1) = 5 and (1 * 5) = 5 Commutative Property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. (a * b) = (b * a) Example: (2 * 4) = 8 = (4 * 2) Review of Yesterday Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. (a * b) * c = a * (b * c) Example: (2 * 3) * 4 = 24 = 2 * (3 * 4) Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. a * (b + c) = (a * b) + (a * c) (b + c) * a = (b * a) + (c * a) Example: 2 * (3 + 4) = (2 * 3) + (2 * 4) = 6 + 8 = 14 FOIL Objective: By the end of the lesson the students will be able to apply the FOIL method to simple Binomial expressions. WARM UP: Expand: 3 * (x + 1) Expand: x * (x + 2) Expand: (x + 2)(x + 3) What is FOIL? Problem: Expand (x+4)(x+6). First Terms: Outer Terms: (x+4)(x+6) Inner Terms: (x+4)(x+6) (x+4)(x+6) Last Terms: (x+4)(x+6) FOIL Practice Expand (x + 2)(x + 1) Expand (x + 5)(x – 3) Expand (2x – 2)(x + 1) FOIL Practice 2.0