Quadratics
- Find factor pairs of the constant.
- Choose the pair that adds to the x coefficient.
- Write two brackets.
Answer: x² + 7x + 10 = (x + 5)(x + 2)
𝑥 Algebra
Quadratics
Learn quadratics with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Quadratics is part of advanced topics and appears often in KS3–GCSE maths.
- Quadratics include an x² term and can often be factorised or solved.
- Use the worked model, help guide, interactive question and flashcards to practise quadratics until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Quadratics learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Quadratics
- Learn the rule: Quadratics include an x² term and can often be factorised or solved.
- Worked model: Find factor pairs of the constant. Choose the pair that adds to the x coefficient. Write two brackets.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
Factorise x² + 5x + 6.
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Quadratics
BackQuadratics include an x² term and can often be factorised or solved.
FrontExample answer: Factorise x² + 5x + 6.
Back2 × 3 = 6 and 2 + 3 = 5, so x² + 5x + 6 = (x + 2)(x + 3).
FrontCommon check for Quadratics
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.