Section_1.3-Algebraic_Expressions

Section_1.3-Algebrai - Section 1.3 Algebraic Expressions Adding and Subtracting Polynomials EXAMPLES 1(x3 6x2 2x 4(x3 5x2 7x =(x3 x3(6x2 5x2(2x 7x

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Section 1.3 Algebraic Expressions Adding and Subtracting Polynomials EXAMPLES: 1 . ( x 3 6 x 2 + 2 x + 4) + ( x 3 + 5 x 2 7 x ) = ( x 3 + x 3 ) + ( 6 x 2 + 5 x 2 ) + (2 x 7 x ) + 4 = 2 x 3 x 2 5 x + 4 2 . ( x 3 6 x 2 + 2 x + 4) ( x 3 + 5 x 2 7 x ) = x 3 6 x 2 + 2 x + 4 x 3 5 x 2 + 7 x = ( x 3 x 3 ) + ( 6 x 2 5 x 2 ) + (2 x + 7 x ) + 4 = 11 x 2 + 9 x + 4 3. 5(3 t 4) ( t 2 + 2) 2 t ( t 3) 1

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Multiplying Algebraic Expressions EXAMPLES: 1. (2 x + 1)(3 x 5) = 6 x 2 10 x + 3 x 5 = 6 x 2 7 x 5 2 . (2 x + 3)( x 2 5 x + 4) = 2 x ( x 2 5 x + 4) + 3( x 2 5 x + 4) = (2 x · x 2 2 x · 5 x + 2 x · 4) + (3 · x 2 3 · 5 x + 3 · 4) = (2 x 3 10 x 2 + 8 x ) + (3 x 2 15 x + 12) = 2 x 3 7 x 2 7 x + 12 Special Product Formulas EXAMPLES: 1. (3 x + 5) 2 = (3 x ) 2 + 2(3 x )(5) + 5 2 = 9 x 2 + 30 x + 25 2. ( x 2 2) 3 = ( x 2 ) 3 3( x 2 ) 2 (2) + 3( x 2 )(2) 2 2 3
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This note was uploaded on 01/23/2012 for the course MATH 8650 taught by Professor Kiryltsishchanka during the Spring '12 term at NYU.

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Section_1.3-Algebrai - Section 1.3 Algebraic Expressions Adding and Subtracting Polynomials EXAMPLES 1(x3 6x2 2x 4(x3 5x2 7x =(x3 x3(6x2 5x2(2x 7x

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