This key facts covers The Key Insight within Solving Quadratics for GCSE Mathematics. Revise Solving Quadratics in Algebra for GCSE Mathematics with 15 exam-style questions and 12 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. 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
15 questions
Recall
12 flashcards
The Key Insight
If A × B = 0, then either A = 0 or B = 0 (or both)
This is why factorising works! If we can write:
x² + 5x + 6 = 0 as (x + 2)(x + 3) = 0
Then either (x + 2) = 0 → x = -2
Or (x + 3) = 0 → x = -3
Keep building this topic
Read this section alongside the surrounding pages in Solving Quadratics. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Solving Quadratics
The equation x² + 5x + 10 = 0 has:
A rectangle has length (x + 5) cm and width (x + 2) cm. The area of the rectangle is 40 cm². Form a quadratic equation and solve it to find the value of x.
Quick Recall Flashcards
15 questions on Solving Quadratics — practise free
Instant marking, adaptive difficulty, and 12 spaced repetition flashcards. Free until your GCSEs.
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