MA10-06 Maths Coming soon
Factorising a General Quadratic ax^2+bx+c
MA10-06
This lesson is coming soon.
In this lesson
Factorise a general quadratic ax^2+bx+c where the leading coefficient is not 1, using a systematic method to split the middle term.
What it covers
- Factorising ax^2+bx+c where a is a positive integer not equal to 1, using the ac-method (find two numbers multiplying to a*c and summing to b, then split and group) to split the middle term
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 | A4 | Notation, vocabulary and manipulation |
| Edexcel GCSE 1MA1 | A4 | Notation, vocabulary and manipulation |
| Eduqas GCSE C300 | HA4 | Simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by: collecting like terms; multiplying a single term over a bracket; taking out common factors; expanding products of two or more binomials; factorising quadratic expressions of the form x² + bx + c, including the difference of two squares; factorising quadratic expressions of the form ax² + bx + c; completing the square; simplifying expressions involving sums, products and powers, including the laws of indices |
| Edexcel IGCSE 4MA1 | H2.2B | Understand the concept of a quadratic expression and be able to factorise such expressions |
| OCR GCSE J560 | 6.01e | Take out common factors. |
| Cambridge IGCSE 0580 | E2.2 | Simplify expressions by collecting like terms. |
For teachers
This GCSE Maths lesson teaches factorising a general quadratic ax²+bx+c. By the end, students should be able to factorise a general quadratic ax^2+bx+c where the leading coefficient is not 1, using a systematic method to split the middle term. It works through two worked examples and the mistakes examiners report.