Q1
What does factorisation mean?
AExpressing an expression as a product of factors
BExpanding an expression
CAdding terms together
DNothing specific
ICSEClass 8 (ICSE)MathematicsCh 13 · Topic 2
Practice and Revision - Factorisation
Let us practise and revise what we learned about factorisation. Factorisation means expressing an algebraic expression as a product of its f
Core concept
Common factor method involves finding the greatest common factor and factoring it out, like 6x+9 = 3(2x+3).
How it works
Factorisation using identities involves recognising patterns, like a²-b² factoring to (a+b)(a-b).
Why it matters
Factorising trinomials, like x²+5x+6, involves finding two numbers that multiply to 6 and add to 5, giving (x+2)(x+3).
Key detail
Factorisation is essential for solving equations, simplifying fractions, and various algebra applications.
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Quick notes
• Common factor method factors out the GCF.
• 6x+9 = 3(2x+3).
• Identities help factorise, like a²-b²=(a+b)(a-b).
• Trinomials factor by finding two matching numbers.
• x²+5x+6 = (x+2)(x+3), since 2×3=6, 2+3=5.
• Factorisation reverses expansion.
• It's essential for solving equations.
• It also helps simplify fractions.