Explanation Given: The rational expression is x ( x − 3 ) ( x + 2 ) Calculation: Factor the denominator by the method of grouping as shown below: x ( x − 3 ) ( x + 2 ) = A x − 3 + B x + 2 Multiply both sides of the equation by ( x − 3 ) ( x + 2 ) as shown below: ( x − 3 ) ( x + 2 ) ⋅ x ( x − 3 ) ( x + 2 ) = ( x − 3 ) ( x + 2 ) ( A x − 3 + B x + 2 ) ( x − 3 ) ( x + 2 ) ⋅ x ( x − 3 ) ( x + 2 ) = ( x − 3 ) ( x + 2 ) ( A x − 3 ) + ( x − 3 ) ( x + 2 ) ( B x + 2 ) Divide out the common factors: ( x − 3 ) ( x + 2 ) ⋅ x ( x − 3 ) ( x + 2 ) = ( x − 3 ) ( x + 2 ) ( A x − 3 ) + ( x − 3 )

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ISBN: 9780321878656

Author: Blitzer

Publisher: VST

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Chapter 8, Problem 16RE

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To calculate: The partial fraction decomposition of the rational expression x(x−3)(x+2)

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The partial fraction decomposition of the rational expression x ( x − 3 ) ( x + 2 )

Solution Summary: The author explains how to calculate the partial tion decomposition of the rational expression.

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