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Mastering Binomial Multiplication Techniques for Math Success

Learn how to multiply binomials using different methods including the Box method, Double Distributive method, and FOIL. Practice with examples and mini quizzes. Enhance your math skills for the CAHSEE exam!

kristopher-tannis
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Mastering Binomial Multiplication Techniques for Math Success

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  1. CAHSEE Review

  2. 8.3 Multiplying Binomials Objective: SWBAT multiply polynomials using different methods.

  3. 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?

  4. CAHSEE Review

  5. Overview Multiply Binomials • Using the “Box” • Double Distributive • FOIL

  6. 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

  7. 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

  8. 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?

  9. Method II:Multiplying with Distribution Try these problems: 5. 6. 7. 8. x2 + 16x + 63 x2 – 14x + 49 16x2 – 9 8x3 – 6x2 + 10x + 3

  10. 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?

  11. 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

  12. 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: ( )( )

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