Solving by factorisation
Factorisation means rewriting a quadratic equation as a product of two simpler expressions and then using the zero product principle.
Practice This ConceptMain explanation
Teacher explanation
This method works best when the quadratic can be split into factors with neat numbers. After factorising, each factor is set to zero, which gives the roots quickly.
Example
x^2 - 7x + 12 = 0 becomes (x - 3)(x - 4) = 0.
Simple analogy
Find the pair, split the middle, solve the two brackets.
Common confusion
Students often choose the wrong factor pair because they match only the product and ignore the middle term.
Exam tip
Check both the product and the sum while choosing factor pairs, especially for negative middle terms.
Answer writing and exam use
1-mark use
Write the exact meaning of solving by factorisation in one clean line.
2-mark use
Define solving by factorisation and add one example or condition.
3-mark use
Explain solving by factorisation, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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