Key Facts About Quadratic Expressions
Part of Quadratic Expressions · GCSE GCSE Mathematics revision
This key facts covers Key Facts About Quadratic Expressions within Quadratic Expressions for GCSE Mathematics. Revise Quadratic Expressions in Algebra for GCSE Mathematics with 12 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 8 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 2 of 8
Practice
12 questions
Recall
22 flashcards
Key Facts About Quadratic Expressions
| Concept | Description | Example |
|---|---|---|
| Quadratic Form | ax² + bx + c (where a ≠ 0) | 3x² + 5x + 2 |
| Factorised Form | (px + q)(rx + s) | (x + 1)(x + 2) |
| Key Pattern | (x + a)(x + b) = x² + (a + b)x + ab | (x + 3)(x + 4) = x² + 7x + 12 |
| Perfect Square | (x + a)² = x² + 2ax + a² | (x + 5)² = x² + 10x + 25 |
| Difference of Squares | (x + a)(x - a) = x² - a² | (x + 3)(x - 3) = x² - 9 |
Keep building this topic
Read this section alongside the surrounding pages in Quadratic Expressions. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Quadratic Expressions
Expand (x + 5)².
Explain how to recognise whether x² + 12x + 36 is a perfect square trinomial, and write it in factorised form.
Quick Recall Flashcards
12 questions on Quadratic Expressions — practise free
Instant marking, adaptive difficulty, and 22 spaced repetition flashcards. Free until your GCSEs.
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