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

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08 Nov 2025, 00:00 Z

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.

Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through these notes.

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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