MA10-04 Maths Coming soon
Factorising by Taking Out a Common Factor
MA10-04
This lesson is coming soon.
In this lesson
Factorise an expression by extracting the full highest common factor (numeric and algebraic) and verify the result by multiplying back out.
What it covers
- Extracting the complete highest common factor (numeric and/or algebraic) from a two-or-more-term expression into a single bracket
- Verifying a factorisation by multiplying the bracket back out
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 | F2.2D | Take out common factors |
| OCR GCSE J560 | 6.01e | Take out common factors. |
| Cambridge IGCSE 0580 | C2.2 | Simplify expressions by collecting like terms. |
| Cambridge IGCSE 0580 | E2.2 | Simplify expressions by collecting like terms. |
For teachers
This GCSE Maths lesson teaches factorising by taking out a common factor. By the end, students should be able to factorise an expression by extracting the full highest common factor (numeric and algebraic) and verify the result by multiplying back out. It works through three worked examples and the mistakes examiners report.