1. Multiplying Polynomials with FOIL Objective: Students will multiply two binomials using the FOIL method. S. Calahan March 2008

2. FOIL method to multiply two binomials, find the sum of the products of to multiply two binomials, find the sum of the products of F the first terms O the outer terms I the inner terms L the last terms.

3. Example ( x + 3)(x – 2) ( x + 3)(x – 2) First: x (x) = x 2 Outer: x(-2) = -2x Inner: 3(x) = 3x Last: 3(-2) = -6

4. ( x + 3)(x – 2) X 2 – 2x + 3x – 6 Combine like terms X 2 + x - 6

5. Example 2: (x-5)(x+7) First: x (x) = x 2 Outer: x(7) = 7x Inner: -5(x) = -5x Last: -5(7) = -35 x 2 + 7x – 5x - 35 x 2 + 7x – 5x - 35

6. x 2 + 7x – 5x - 35 Combine like terms. X 2 + 2x - 35