Notes Rev.3 Multiply Polynomials Distributive Property FOIL Boxes Square Binomials Mentally Vocabulary Distributive Property: Foil: Square a Binomial: Multiply binomials using boxes : a(b+c) = ab + ac a(b-c) = ab - ac Use when multiplying 2 binomials First Outside Inside Last An organizer used when multiplying polynomials of 2 by 3 or larger like a binomial times a trinomial (a+b) 2 = a 2 +2ab+b 2 (a-b) 2 = a 2 -2ab+b 2 Multiply Monomial and Polynomial So Distributive Property (x 2 )(2x) + (x 2 )(-x 3 ) 2x 3 x 5 FOIL: Multiply 2 Binomials (x)(x) + (x)(3) + (2)(x) + (2)(3) x 2 + 3x + 2x + 6 x 2 + 5x + 6 F O I L Square a Binomial 16x x + 9 Multiply Polynomials (2x 2 2x +x 1 )(3x + 2 ) 3x 2 (2x 2 x 1 )(3x + 2 ) 2x 2 -x 6x 3 + x 2 5x 2 6x 3 4x 2 -3x 2 -2x -3x -2 Marker board practice 5 problems each group putting these in the notebook is optional! Evens up first!!! Distribute? Foil? Boxes? FOIL Distribute? Foil? Boxes? Distribute Distribute? Foil? Boxes? Boxes after FOIL 1. Simplify (2x+3)(x 1) A. 2x 3 B. 3x+2 C. 2x 2 +x 3 D. 2x 2 x 3 4. (2x+3) 2 A. 4x + 9 B. 4x C. 4x 2 +12x + 9 D. 4x 2 + 6x + 9 Odds up!! Distribute? Foil? Boxes? FOIL Distribute? Foil? Boxes? Distribute Distribute? Foil? Boxes? Boxes 2. ( 4x)(2x 5) A. 6x 3 B. 8x 5 C. 8x 2 18x 5 D. 8x 2 20x 3. 3(x+5)(x 4) A. 3x 20 B. 3x 2 + 3x 60 C. 3x 2 60x 20 D. 3x 2 + x 60