Factorisation of Quadratic Expressions in form ax^2+bx+c where a is more than 1

Описание: Mastering Quadratic Expressions Factorisation (When a is more than 1)
The Magic Pair Method
In this video, we move beyond the basics and learn how to factorise expressions where the coefficient of x^2 is greater than 1 e.g., 2x^2 + 5x - 3.

We’ll show you how to use the Multiplication Frame combined with the "Magic Pair" shortcut to find the correct terms every single time. No more guessing and checking!

💡 The Strategy: When factorising ax^2 + bx + c:

1) Multiply the Diagonals (a times c):
Find the product of your first and last terms.

2) Find the Magic Pair:
Look for two numbers that multiply to give you ac
These same two numbers will add up to the middle term (b)

3) Fill the Frame: Use your Magic Pair to fill up the x terms in the empty boxes in your 2 by 2 grid.
4) Find the HCF: Identify the Highest Common Factor for the first row to find the terms inside the brackets.
🧮 Worked Example: 2x^2 + 5x - 3
Product (a times c): 2 times -3 = -6
Sum (b): +5
The Magic Pair: +6 and -1 (because 6 times -1 = -6 and 6 + -1 = 5)
Final Factorised Form: (2x - 1)(x + 3)
📌 Timestamps:0:00 - Introduction to ax^2 + bx + c
0:45 - The Diagonal Product Rule (a times c)
1:30 - Finding the Magic Pair
2:15 - Filling the 2 times 2 Grid
3:30 - Factoring out the HCF and finding the factorised form
4:45 - Final Check (Expansion)

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