Partial‑Fraction Decomposition — A‑Level P3 Essentials (Linear, Repeated, Quadratic)

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Partial‑Fraction Decomposition — A‑Level P3 Essentials (Linear, Repeated, Quadratic)

SAT Score Range

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2 sessions

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This series ended on July 17, 2025. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

📌 Title
Partial‑Fraction Decomposition — A‑Level P3 Essentials (Linear, Repeated, Quadratic)
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📝 Description (≥ 50 characters)
This 60‑minute sprint shows you how to break any proper rational function into partial fractions exactly as required by Cambridge International AS & A‑Level Mathematics 9709 (Pure 3):
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• (ax + b)(cx + d)(ex + f) – three distinct linear factors  
• (ax + b)(cx + d)² – a repeated linear factor  
• (ax + b)(cx² + d) – linear × irreducible quadratic  
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We’ll cover:  
1. Choosing the correct decomposition template  
2. Solving for the constants quickly (cover‑up & comparison methods)  
3. Handling an improper fraction by long division first  
4. Exam‑style walkthroughs pulled from recent CAIE past papers  
5. A timed mini‑practice set where learners try questions and compare solutions live.  
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Scope note: Integration comes later in Calculus; this class focuses on algebraic decomposition only.
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Prerequisites – solid factorisation skills and comfort simplifying rational expressions. Recommended prep:  
• KA Algebra → Polynomial division  
• KA “Partial fraction expansion” videos 1–3  
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Bring paper, pen, and a calculator/Desmos.
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Tutored by

Tasheen U 🇧🇩

Certified in 9 topics

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A recent graduate of CAIE A-levels with Mathematics, Physics, and Computer Science. Currently, pursuing my B.Sc. in Computer Science & Engineering. Passionate about math and education, I am eager to help others excel in subjects including math, physics, computer science, and SAT Prep. Excited to tutor in various math areas such as Algebra, Geometry, Pre-Calculus, Calculus, and Statistics. Let's learn and grow together!

Schedule

✋ ATTENDANCE POLICY

This is a one‑off intensive. Please join on time and stay for the full Duration. Active participation (chat or mic) is required.

SESSION 1

15

Jul

SESSION 1

Rational functions

Tue 12:15 PM - 1:15 PM UTCJul 15, 12:15 PM - 1:15 PM UTC

I will introduce the topic with a mini-lecture

SESSION 2

17

Jul

SESSION 2

Rational functions

Thu 11:30 AM - 12:40 PM UTCJul 17, 11:30 AM - 12:40 PM UTC

We will practice on the topic that I have introduced in the previous session. We will do so by solving more similar and advanced problems.

Public Discussion

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Jul 15 - Jul 17

1 week

60 - 70 mins

/ session

SCHEDULE

Tuesday, Jul 15

12:15PM

Thursday, Jul 17

11:30AM