factorisation of ax2+bx+c where a is more than 1 скачать в хорошем качестве

factorisation of ax2+bx+c where a is more than 1

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) Enjoyed this tutorial? Don't forget to Like and Subscribe for more step-by-step maths breakdowns!