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What is done after long division, before writing the appropriate partial-fraction decomposition?

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Question

What is done after long division, before writing the appropriate partial-fraction decomposition?

Options

  • Add the constant of integration \[C\].

  • Integrate each partial fraction separately.

  • Factorise the denominator completely.

  • Set \[Q(x)=0\].

MCQ
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Solution

The denominator must be factorised completely before choosing partial fractions. Its factors determine the required partial form.

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