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5.3_bzca5e

# 5.3_bzca5e - the Denominator Graphing Calculator Example 29...

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Section 5.3 Partial Fractions

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The Idea Behind Partial Fraction Decomposition
Each of the two fractions on the right is called a partial fraction. The sum of these fractions is called the partial fraction decomposition of the rational expression on the left-hand side.

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The Partial Fraction Decomposition of a Rational Expression with Distinct Linear Factors in the Denominator

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Example ( 29 ( 29 Find the partial fraction decomposition of 6 14 3 5 x x x + - +
The Partial Fraction Decomposition of a Rational Expression with Linear Factors in the Denominator, Some of Which are Repeated

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Example 2 Find the partial fraction decomposition 8 ( 2) x x x + +
The Partial Fraction Decomposition of a Rational Expression with Prime, Nonrepeated Quadratic Factors in

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Unformatted text preview: the Denominator Graphing Calculator Example ( 29 ( 29 2 2 Find the partial fraction decomposition of 3 4 2 2 3 5 x x x x x-+--+ The Partial Fraction Decomposition of a Rational Expression with a Prime, Repeated Quadratic Factor in the Denominator Example ( 29 3 2 2 Find the partial fraction decomposition of 2 1 2 x x x- --(a) (b) (c) (d) ( 29 ( 29 Find the partial fraction decomposition of 14 2 5 x x x---4 3 2 5 2 3 2 5 1 3 2 5 4 2 2 5 x x x x x x x x---+-----+--(a) (b) (c) (d) 2 Find the partial fraction decomposition of 2 11 ( 3) x x + + 2 2 2 2 5 2 ( 3) ( 3) 3 2 ( 3) ( 3) 5 4 ( 3) ( 3) 2 5 ( 3) ( 3) x x x x x x x x + + + + + + + + + + + +...
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• Fall '11
• jayjohn
• Fraction, Rational function, Mathematics in medieval Islam, Partial fractions in integration, Egyptian fraction

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5.3_bzca5e - the Denominator Graphing Calculator Example 29...

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