Q1
What does factorisation mean?
AExpressing an expression as a product of factors
BExpanding an expression
CAdding terms together
DNothing specific
ICSEClass 9 (ICSE)MathematicsCh 5 · Topic 2
Practice and Revision - Factorisation
Let us practise and revise what we learned about factorisation. Factorisation expresses an algebraic expression as a product of factors, usi
Core concept
The common factor method finds the greatest common factor of all terms and factors it out, like 4x+8 = 4(x+2).
How it works
Factorisation using identities recognises patterns, like a²-b² factoring to (a+b)(a-b), or a²+2ab+b² factoring to (a+b)².
Why it matters
Factorisation by grouping involves grouping terms to find common factors, useful for expressions with four or more terms.
Key detail
Trinomial factorisation, like x²+7x+12, finds two numbers that multiply to 12 and add to 7, giving (x+3)(x+4).
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Quick notes
• Common factor method factors out the GCF.
• 4x+8 = 4(x+2).
• Identities help factorise, like a²-b²=(a+b)(a-b).
• a²+2ab+b² factors to (a+b)².
• Grouping factors expressions with 4+ terms.
• Trinomials factor by finding matching numbers.
• x²+7x+12 = (x+3)(x+4), since 3×4=12, 3+4=7.
• Different methods suit different expressions.