120 likes | 208 Views
CAHSEE Review. 8.3 Multiplying Binomials. Objective: SWBAT multiply polynomials using different methods. Mini Quiz 4. Andrea had a bag with 60 M&M’s in it. She ate 15 of the M&M’s. What percent of the bag did she eat?
E N D
8.3 Multiplying Binomials Objective: SWBAT multiply polynomials using different methods.
Mini Quiz 4 • Andrea had a bag with 60 M&M’s in it. She ate 15 of the M&M’s. What percent of the bag did she eat? • Jamal is going to buy a necklace as a gift for his mother. The necklace has been discounted 20% off the original price of $80. What is the sale price of the necklace?
Overview Multiply Binomials • Using the “Box” • Double Distributive • FOIL
Method I:Multiplying with “The Box” Find the Product: (x + 3)(x + 5) x + 5 x +3 What’s the Answer? x2 5x x2 + 8x + 15 3x 15
Method I:Multiplying with “The Box” Now multiply the following with “the box” method. 1. 2. 3. 4. x2 – 16 2x2 + 3x – 2 x2 – 6x + 9 6x3 + 20x2 – 8x + 32
Method II:Multiplying with Distribution Find the Product: (x + 3)(x + 5) (x + 3) x x2 x2 + 8x + 15 (x + 3) 5 + +3x + 5x + 15 What’s the Answer?
Method II:Multiplying with Distribution Try these problems: 5. 6. 7. 8. x2 + 16x + 63 x2 – 14x + 49 16x2 – 9 8x3 – 6x2 + 10x + 3
Method III:“FOIL” (only for 2 x 2) Find the Product: (x + 3)(x + 5) First: Outer: Inner: Last: x2 + 8x + 15 x2 + 5x + 3x + 15 What’s the Answer?
Method III:“FOIL” (only for 2 x 2) ( )( ) 9. (3x2 – 9)(5x – 1) 10. (w – 5)(w + 5) 11. (x + 4)2 12. (2x – 6)(x2 + 3x – 1) 15x3 – 3x2 – 45x + 9 w2 – 25 x2 + 8x + 16 2x3 – 20x + 6
Wrap Up Multiply Binomials • Using the “Box” • Double Distributive • FOIL – First, Outer, Inner, Last (only for 2 x 2) HW: P. 383 #1-37 EOO; P. 391 #15-19 odd, 27-35 odd DLUQ: ( )( )