Page 104 - Math Course 2 (Book 1)

Polynomials: Multiplication

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Find (2b + 7b + 9)(b + 3b – 1) .
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(2b + 7b + 9)(b + 3b – 1)
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= (2b )(b + 3b – 1)+ 7b(b + 3b – 1) + 9(b + 3b – 1) Distributive Property.
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= (2b + 6b – 2b + 7b + 21b – 7b + 9b + 27b – 9) Distributive Property.
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= 2b + 13b + 28b + 20b – 9 Combine like terms.
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Answer 2b + 13b + 28b + 20b – 9
Your Turn!
MO. 3 - L9b
The Distributive Property
Find (c + 2)(c – 4). Multiplying Polynomials:
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A. c – 6c + 8 FOIL Method
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B. c – 4c – 8
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C. c – 2c + 8
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D. c – 2c – 8 Vocabulary A-Z
Let us learn some vocabulary
Answer

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Find (3z + 2)(4z + 3z + 5). FOIL method
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A. 12z + 9z + 15z There is a shortcut version of the Distributive
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B. 8z + 6z + 10 Property called the FOIL method.
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C. 12z + z + 9z + 10
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D. 12z + 17z + 21z + 10 Firsts Lasts
Answer (a + b) (c + d)
Inners

Outers
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(3y –2) =
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Find (3x + 2x + 1)(4x – 3x – 2). (3y –2) (3y – 2) =
F O I L
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A. 12x – 9x – 6x 2
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B. 7x – x – 1 (3y)(3y) + (3y)(–2) + (–2)(3y) + (–2)(–2) =
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C. 12x – x – 8x – 7x – 2 9y – 6y – 6y + 4 =
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D. –x2 + 5x + 3 9y – 12y + 4
Answer

96