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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/23/2012 for the course MATH 8650 taught by Professor Kiryltsishchanka during the Spring '12 term at NYU.

Page1 / 4

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online