Factorisation of Quadratic Expressions in form ax^2 + bx + c where a=1
Автор: Learn Math with Daniel
Загружено: 2026-02-14
Просмотров: 24
Описание:
Mastering quadratic factorisation doesn't have to be a headache! In this video, we break down how to factorise expressions like x^2 + 5x + 6 using two powerful methods.
We start with the Multiplication Frame to help you visually understand how terms multiply to form a quadratic. Then, we level up to the "Magic Pair" method, where you’ll learn to quickly identify factors using the Product (c) and Sum (b) shortcut.
📌 What You’ll Learn:
The Grid Setup: How to organize x^2 and constant terms.
The Magic Pair: Finding the perfect numbers that satisfy two rules at once.
The Shortcut: Moving from drawing frames to mental math for faster problem-solving.
🧮 Quick Reference: For any quadratic expression x^2 + bx + c:
Product: Find two numbers that multiply to get c.
Sum: Ensure those same two numbers add up to get b.
Result: Place them straight into the brackets: (x + ?)(x + ?)
Example used in video: x^2 + 5x + 6
Factors of 6 that add to 5 are 2 and 3.
Final Answer: (x + 2)(x + 3)
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