Explanation The given rational expression is 5 x x 4 − 16 + 8 x x + 2 . Step 1: Find the least common denominator (LCD) of the rational expression 5 x x 4 − 16 + 8 x x + 2 . Obtain the LCD of the denominators x 4 − 16 and x + 2 . The factored form of x 4 − 16 is ( x 2 − 4 ) ( x 2 + 4 ) which is equal to ( x − 2 ) ( x + 2 ) ( x 2 + 4 ) . The lowest degree polynomial that divide each terms of the denominators is x 4 − 16 , therefore, the LCD is x 4 − 16 . Step 2: Rewrite all rational fractions to obtain the common denominator. Rewrite the fraction by multiplying the numerator and denominator of the first fraction by 1 and the second fraction by ( x − 2 ) ( x 2 + 4 ) as follows, 5 x x 4 − 16 + 8 x x + 2 = 5 x ( x + 2 ) ( x − 2 ) ( x 2 + 4 ) + 8 x x + 2 = 5 x ( x + 2 ) ( x − 2 ) ( x 2 + 4 ) + 8 x <

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ISBN: 9780135823002

Author: HARSHBARGER

Publisher: PEARSON

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Chapter 6, Problem 29TE

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To simplify: The rational expression 5xx4−16+8xx+2.

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Chapter 6, Problem 28TE

Chapter 6, Problem 30TE

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Chapter 6 Solutions

MYLAB MATH COLLEGE ALGEBRA IN CONTEXT

Ch. 6.1 - Graph the function h(x) = 3x3 + 5x2 x 10 on the...Ch. 6.1 - Graph the function f(x) = 2x3 3x2 6x on the...Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - For Exercises 1116, match the polynomial function...Ch. 6.1 - For Exercises 1720, use the equation of the...Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Sketch a graph of any cubic polynomial function...Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Daily Revenue The daily revenue in dollars from...Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Starbucks Using data from 2005 and projected to...Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Prob. 47E Ch. 6.1 - Salaries The median salary for male workers, in...Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.2 - Find the cubic function that models the data in...Ch. 6.2 - Find the cubic function that is the best fit for...Ch. 6.2 - Prob. 3E Ch. 6.2 - Find the quartic function that is the best fit for...Ch. 6.2 - Prob. 5E Ch. 6.2 - a. 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The rational expression 5 x x 4 − 16 + 8 x x + 2 .

Solution Summary: The author explains how to simplify the rational expression 5x416+, and the least common denominator (LCD).

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To simplify: The rational expression 5xx4−16+8xx+2.

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Chapter 6 Solutions