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Factorisation Mastery Worksheet
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Factorisation Mastery Worksheet
🎯 Part 1: Identify the Method
Instructions: Look at each expression and select which factorisation method would work best.
1. For the expression x² - 16, which method should you use?
Common factor extraction
Difference of squares
Perfect square trinomial
Factor by grouping
2. For the expression 6x³ + 9x² - 12x, which method should you use first?
Sum-product method
Difference of squares
Common factor extraction
Perfect square trinomial
3. For the expression x² + 10x + 25, which method should you use?
Perfect square trinomial
Difference of squares
Factor by grouping
Sum-product method
✏️ Part 2: Factorise These Expressions
Instructions: Show your working clearly in the boxes provided.
4. Factorise: 4x² - 36
5. Factorise: x² + 8x + 16
6. Factorise: 2x² + 7x + 3
7. Factorise: x³ + 2x² + 3x + 6
🏡 Part 3: Real-World Application
8. A rectangular garden has an area represented by the expression x² + 9x + 20 square metres. If both the length and width are whole number expressions involving x, find the possible dimensions of the garden.
9. Complete the statement: "When I see an expression like a² - b², I know it will factor into _____________ × _____________"
10. Explain in your own words how you decide which factorisation method to use when looking at a polynomial expression.
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