IP AMaths Notes (Upper Sec, Year 3-4): 18) Partial Fractions
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Decompose rational expressions with distinct, repeated, and irreducible quadratic factors in IP AMaths.
Last updated 30 Nov 2025
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- Start Here
- 1 Templates
- 2 Worked example - Distinct factors
- 3 Worked example - Repeated factor
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 18) Partial Fractions cover?
A: Decompose rational expressions with distinct, repeated, and irreducible quadratic factors in IP AMaths.
Partial fractions simplify rational functions for integration and algebraic manipulation.
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These decomposition templates reflect the SEAB GCE O-Level Additional Mathematics (4049) syllabus for partial fractions (distinct/repeated linear factors and irreducible quadratics).
Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.
Start Here
| Read time | What to take away |
| 1 second | Partial fractions split one rational expression into simpler pieces. |
| 10 seconds | Factor the denominator first, choose the correct template, then solve for constants by substitution or coefficient comparison. |
| 100 seconds | Example: if the denominator is (x + 4)(x - 1), write A/(x + 4) + B/(x - 1), multiply through, then use x = -4 and x = 1. |
1 Templates
- Distinct linear factors:
