1. Polynomials and Factoring Polynomials and Factoring Multiplying Binomials Delores Fitch Algebra 1 Tech 504 Multimedia for Teachers

2. Objective The student will multiply binomials using FOIL. SOL A.2, and A.11

3. Multiplying Two Binomials Using FOIL F – FIRST TERMS O – OUTER TERMS I – INNER TERMS L – LAST TERMS http://www.phschool.com/atschool/academy123/ english/academy123_content/wl-book- demo/ph-268s.html

4. Multiplying Using FOIL (3x – 5)(2x +7) F O I L = (3x)(2x) + (3x)(7) + (-5)(2x) + (-5)(7) = 6x 1+1 + 21x – 10x – 35 = 6x 2 + 11x - 35

5. Multiplying Using FOIL (3x + 4)(2x + 5) = (3x)(2x) + (3x)(5) + (4)(2x) + (4)(5) Use foil method. first outer inner last = 6x 2 + 15x + 8x + 20 Simplify. = 6x 2 + 23x + 20 Combine like terms and simplify.

6. Multiplying Using FOIL (3x + 4)(2x – 5) = (3x)(2x) + (3x)(-5) + (4)(2x) + (4)(-5) Use foil method. first outer inner last = 6x 2 – 15x + 8x – 20 Simplify. = 6x 2 – 7x – 20 Combine like terms and simplify.

7. Multiplying Using FOIL (9a – 8 )(7a – 3) = (9a)(7a) + (9a)(-3) + (-8)(7a)+(-8)(-3) Use foil method. first outerinner last = 63a 2 – 27a – 56a + 24 Simplify. = 63a 2 – 83a + 24 Combine like terms and simplify.

8. Multiplying Using FOIL – TRY A FEW ON YOUR OWN… a. (5m+2)(8m – 1) b. (9a – 8)(7a + 4) c. (2y + 5)(y – 3) d. 40m 2 + 11m – 2 e. 63a 2 – 20a – 32 f. 2y 2 – y – 15 a. (5m+2)(8m – 1) b. (9a – 8)(7a + 4) c. (2y + 5)(y – 3) d. 40m 2 + 11m – 2 e. 63a 2 – 20a – 32 f. 2y 2 – y – 15