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SingaporeAdditional MathematicsQuick questions

Binomial Theorem and Partial Fractions

Quick questions on Partial fractions: N(A)-Level Additional Mathematics

6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are clearing the denominators?
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Multiply both sides by the full denominator to get an identity with no fractions:
What are wrong number of unknowns?
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Use exactly one constant per distinct linear factor, no more and no fewer.
What is sign errors in substitution?
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For the factor (x+2)(x + 2), substitute x=−2x = -2; mind the signs throughout.
What is q1?
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Write the partial-fraction form (with unknowns) for 1(x−2)(x+3)\dfrac{1}{(x - 2)(x + 3)}. [1 mark]
What is q2?
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Express 4(x−1)(x+1)\dfrac{4}{(x - 1)(x + 1)} in partial fractions. [3 marks]
What is q3?
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Express x(x+1)(x+2)\dfrac{x}{(x + 1)(x + 2)} in partial fractions. [3 marks]

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