Explanation Given: Rational function is x 4 − x 2 + 2 x 2 ( x − 1 ) First expand the denominator of the rational expression. x 4 − x 2 + 2 x 2 ( x − 1 ) = x 4 − x 2 + 2 x 3 − x 2 Since the degree of numerator is greater than the degree of the denominator therefore first long divide the rational expression. x 3 − x 2 x + 1 x 4 − x 2 + 2 − x 4 + x 3 _ x 3 − x 2 + 2 − x 3 + x 2 _ 2 It gives x 4 − x 2 + 2 x 2 ( x − 1 ) = x + 1 + 2 x 2 ( x − 1 ) ..... ( i ) Now find the partial fraction of 2 x 3 − x 2 Consider 2 x 2 ( x − 1 ) = a 0 x + a 1 x 2 + a 2 x − 1 ......

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter 7.4, Problem 12PS

To determine

To find: The partial fraction of the rational function x4−x2+2x2(x−1) .

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Chapter 7.4, Problem 11PS

Chapter 7.4, Problem 13PS

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Chapter 7 Solutions

Student's Solution and Survival Manual for Calculus

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The partial fraction of the rational function x 4 − x 2 + 2 x 2 ( x − 1 ) .

Solution Summary: The author explains how to find the partial tion of the rational function.

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To find: The partial fraction of the rational function x4−x2+2x2(x−1) .

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Chapter 7 Solutions