Exam-style question
Try this first
When decomposing a rational function into partial fractions, what should be decided before comparing coefficients?.
- A.The denominator factor type and the matching numerator form for each partial fraction.
- B.The gradient of a straight line through two unrelated points.
- C.The decimal approximation of the rational function.
- D.The area under the graph before any algebra is done.
Model answer
What a good answer should say
- The correct answer is The denominator factor type and the matching numerator form for each partial fraction.
- This is the best choice because it names the A-level method being tested and explains the mathematical check needed for this objective.
This answer is tied to the objective: B10 Decompose rational functions into partial fractions, with denominators not more complicated than squared linear terms and with no more than three terms, and numerators constant or linear..
Explanation
Why this works
Use the explanation to connect the worked answer back to B10 Decompose rational functions into partial fractions, with denominators not more complicated than squared linear terms and with no more than three terms, and numerators constant or linear..
The denominator factor type and the matching numerator form for each partial fraction. is correct.
It is specific to the learning objective, keeps the method visible, and avoids the generic shortcut described by the distractors.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: practice.
- Reasoning demand: application.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.