MA12-01 Maths Watch
Solving x^2+bx+c=0 by Factorising
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In this lesson
In this video you'll learn about solving x^2+bx+c=0 by factorising for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to solve a quadratic equation already written as x^2+bx+c=0 by factorising, correctly finding both roots.
What it covers
- 0:49 Solving x^2+bx+c=0 by factorising: the two-roots rule and why
- 3:21 Worked example 1: x² + 3x - 10 = 0
- 5:59 The b = 0 case: x² - 16 = 0
- 7:34 Exam technique
- 9:18 Your turn, cold: x² - x - 6 = 0
- 11:22 What's next
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 | FA15 | Solve quadratic equations of the form x² + bx + c (NOT including those that require rearrangement) algebraically by factorising; find approximate solutions using a graph |
| Edexcel IGCSE 4MA1 | F2.7A | Solve quadratic equations by factorisation (limited to x² + bx + c = 0) |
| 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 solving x²+bx+c=0 by Factorising. By the end, students should be able to solve a quadratic equation already written as x^2+bx+c=0 by factorising, correctly finding both roots. It works through two worked examples and the mistakes examiners report.