MA10-05 Maths Coming soon
Factorising a Quadratic x^2+bx+c, Including Difference of Two Squares
MA10-05
This lesson is coming soon.
In this lesson
Factorise a quadratic expression x^2+bx+c using factor pairs, and recognise and factorise a difference of two squares as a separate pattern.
What it covers
- Factorising x^2+bx+c via factor pairs of c that sum to b, including negative b and/or c cases
- Recognising an expression as a difference of two squares (a^2 - b^2, no middle term) and factorising it directly to (a-b)(a+b)
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 | FA4 | Simplify and manipulate algebraic expressions (including those involving surds) by: collecting like terms; multiplying a single term over a bracket; taking out common factors; expanding products of two binomials; factorising quadratic expressions of the form x² + bx + c, including the difference of two squares; simplifying expressions involving sums, products and powers, including the laws of indices |
| 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 | F2.2F | Understand the concept of a quadratic expression and be able to factorise such expressions (limited to x² + bx + c) |
| 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 quadratic x²+bx+c, including difference of two squares. By the end, students should be able to factorise a quadratic expression x^2+bx+c using factor pairs, and recognise and factorise a difference of two squares as a separate pattern. It works through two worked examples and the mistakes examiners report.