mgb5e_ppt_5_3 - x + 4)(3 x + 4). (3 x + 4) 2 = (3 x + 4)(3...

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§ 5.3 Multiplying Polynomials
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Martin-Gay, Beginning Algebra, 5ed 2 Multiplying polynomials If all of the polynomials are monomials, use the associative and commutative properties. If any of the polynomials are not monomials, use the distributive property before the associative and commutative properties. Then combine like terms. Multiplying Polynomials
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Martin-Gay, Beginning Algebra, 5ed 3 Multiply the following. (3 x 2 )( 2 x ) = (3)( 2)( x 2 · x ) = 6 x 3 (4 x 2 )(3 x 2 – 2 x + 5) = (4 x 2 )(3 x 2 ) – (4 x 2 )(2 x ) + (4 x 2 )(5) Distribute. = 12 x 4 – 8 x 3 + 20 x 2 Multiply the monomials. Multiplying Polynomials Example: (3 x 2 )(– 2 x )
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Martin-Gay, Beginning Algebra, 5ed 4 Multiply. (2 x – 4)(7 x + 5) = 2 x (7 x + 5) – 4(7 x + 5) = 14 x 2 + 10 x – 28 x – 20 = 14 x 2 – 18 x – 20 Multiplying Polynomials Example:
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Martin-Gay, Beginning Algebra, 5ed 5 Multiply (3 x + 4) 2 Remember that a 2 = a · a , so (3 x + 4) 2 = (3
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Unformatted text preview: x + 4)(3 x + 4). (3 x + 4) 2 = (3 x + 4)(3 x + 4) = (3 x )(3 x + 4) + 4(3 x + 4) = 9 x 2 + 12 x + 12 x + 16 = 9 x 2 + 24 x + 16 Multiplying Polynomials Example: Martin-Gay, Beginning Algebra, 5ed 6 Multiply (5 x – 2 z ) 2 (5 x – 2 z ) 2 = (5 x – 2 z )(5 x – 2 z ) = (5 x )(5 x – 2 z ) – 2 z (5 x – 2 z ) = 25 x 2 – 10 xz – 10 xz + 4 z 2 = 25 x 2 – 20 xz + 4 z 2 Multiplying Polynomials Example: Martin-Gay, Beginning Algebra, 5ed 7 Multiply (2 x 2 + x – 1)( x 2 + 3 x + 4) (2 x 2 + x – 1)( x 2 + 3 x + 4) = (2 x 2 )( x 2 + 3 x + 4) + x ( x 2 + 3 x + 4) – 1( x 2 + 3 x + 4) = 2 x 4 + 6 x 3 + 8 x 2 + x 3 + 3 x 2 + 4 x – x 2 – 3 x – 4 = 2 x 4 + 7 x 3 + 10 x 2 + x – 4 Multiplying Polynomials Example:...
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This note was uploaded on 06/10/2009 for the course MAC 1103 taught by Professor Prescott during the Spring '09 term at Pasco-Hernando Community College.

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mgb5e_ppt_5_3 - x + 4)(3 x + 4). (3 x + 4) 2 = (3 x + 4)(3...

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