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Binomial Theorem and Partial Fractions
Quick questions on Partial fractions with linear factors explained: O-Level A-Maths
7short 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 the form for distinct linear factors?Show answer
For each distinct linear factor in the denominator, write one partial fraction with an unknown constant numerator:
What are clearing the denominators?Show answer
Multiply both sides by the full denominator to get an identity free of fractions:
What are too few unknowns?Show answer
Each distinct linear factor needs its own constant numerator; missing one makes the identity unsolvable.
What is arithmetic when substituting the root?Show answer
Evaluate both sides carefully at each root; a slip gives the wrong constant.
What is q1?Show answer
Set up (do not solve) the partial fractions for . [1 mark]
What is q2?Show answer
Express in partial fractions. [3 marks]
What is q3?Show answer
Express in partial fractions. [4 marks]
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