IP AMaths Notes (Upper Sec, Year 3-4): 18) Partial Fractions

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08 Nov 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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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.

Templates

Distinct linear factors: $\dfrac{P(x)}{(x - a)(x - b)} = \dfrac{A}{x - a} + \dfrac{B}{x - b}$

IP AMaths Notes (Upper Sec, Year 3-4): 18) Partial Fractions

Templates

Worked example 1 - Distinct factors

Worked example 2 - Repeated factor

Worked example 3 - Linear factor with irreducible quadratic

Practice Quiz

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