Question
Asked Sep 17, 2019
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9x2+23x+4 over x3+6x2+2x+12

Solve decomposition of partial fractions

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Expert Answer

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Step 1

The fraction is

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9x223x4 x3 6x22x12

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Step 2

First split the denominator as follows.

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x36x22x12 x2(x+6)+2(x+6) (x2+2)(+6) However, the numerator cannot be factorized 9x23x4 + The fraction becomes x2 x6) Where neither x +2 nor x+ 6 divide 9x223x4 Hence, there is no further decomposition

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Step 3
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9x223x4 Therefore, the partial decomposition ofthe fraction is (2+2(x+6)

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