Explanation Given: The rational expression: x 3 + x 2 − 3 x 2 + 3 x − 4 . Formula used: If the denominator Q ( x ) has non repeated linear factors, then P ( x ) Q ( x ) = A 1 x − a 1 + A 2 x − a 2 + ⋅ ⋅ ⋅ + A n x − a n , where the numbers A 1 , A 2 , ... , A n need to be determined and Q ( x ) = ( x − a 1 ) ( x − a 2 ) ... ( x − a n ) . Calculation: By division algorithm, x 3 + x 2 − 3 = ( x − 2 ) ( x 2 + 3 x − 4 ) + 10 x − 11 x 3 + x 2 − 3 x 2 + 3 x − 4 = x − 2 + 10 x − 11 x 2 + 3 x − 4 Let 10 x − 11 x 2 + 3 x − 4 = 10 x − ...

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ISBN: 9780321979476

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 8.5, Problem 47MP

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To find: The improper rational expression as the sum of a polynomial and a proper rational expression and as the sum of the polynomial and the partial fraction decomposition of the rational expression.

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Chapter 8.5, Problem 46SB

Chapter 8.5, Problem 48MP

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Chapter 8 Solutions

College Algebra (10th Edition)

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The improper rational expression as the sum of a polynomial and a proper rational expression and as the sum of the polynomial and the partial fraction decomposition of the rational expression.

Solution Summary: The author explains how to find the improper rational expression as the sum of a polynomial, and the partial tion decomposition of it.

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To find: The improper rational expression as the sum of a polynomial and a proper rational expression and as the sum of the polynomial and the partial fraction decomposition of the rational expression.

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Chapter 8 Solutions