MA12-02 Maths Watch
Rearranging and Factorising a General Quadratic Equation
Subscribe on YouTubeLike this lesson on YouTube
In this lesson
In this video you'll learn about rearranging and factorising a general quadratic equation for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to rearrange a quadratic equation into ax^2+bx+c=0 form - including forming it from a context - then solve it by factorising or completing the square.
What it covers
- 0:57 A quick word on who this is for
- 5:42 Back to that lawn now, because most of the time nobody hands you an equation at all
- 7:50 The case where factorising simply refuses to work, and what you reach for instead
- 11:04 Exam technique
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Edexcel IGCSE 4MA1, OCR GCSE J560, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A18 | Solve quadratic equations algebraically by factorising |
| Edexcel GCSE 1MA1 | A18 | Solve quadratic equations algebraically by factorising; find approximate solutions using a graph |
| Eduqas GCSE C300 | HA18 | Solve quadratic equations of the form x² + bx + c and ax² + bx + c (including those that require rearrangement) algebraically by factorising, by completing the square and by using the quadratic formula; find approximate solutions using a graph |
| Edexcel IGCSE 4MA1 | H2.7A | Solve quadratic equations by factorisation |
| Edexcel IGCSE 4MA1 | H2.7B | Solve quadratic equations by using the quadratic formula or completing the square |
| Edexcel IGCSE 4MA1 | H2.7C | Form and solve quadratic equations from data given in a context |
| OCR GCSE J560 | 6.03b | Solve quadratic equations with coefficient of x^2 equal to 1 by factorising. |
| Cambridge IGCSE 0580 | E2.5 | Construct expressions, equations and formulas. |
For teachers
This GCSE Maths lesson teaches rearranging and factorising a general quadratic equation. By the end, students should be able to rearrange a quadratic equation into ax^2+bx+c=0 form - including forming it from a context - then solve it by factorising or completing the square. It works through three worked examples and the mistakes examiners report.