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Grade 10 · Algebraic Expressions
Factorising: Grouping in Pairs & the Cubes (Grade 10)
MEMORANDUM
Name:
Class:
Date:
Mark
/ 18
Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.
- 1Factorise: 3x² − 12(2)3(x² − 4) = 3(x − 2)(x + 2)✓✓ (2)
- 2Factorise: x³ + 3x² + 2x + 6(2)x²(x+3) + 2(x+3) = (x + 3)(x² + 2)✓✓ (2)
- 3Factorise: ax + ay + bx + by(2)a(x+y) + b(x+y) = (x + y)(a + b)✓✓ (2)
- 4Factorise: x³ + 27(2)(x + 3)(x² − 3x + 9)✓✓ (2)
- 5Factorise: x³ − 64(2)(x − 4)(x² + 4x + 16)✓✓ (2)
- 6Factorise: 8x³ − 1(2)(2x − 1)(4x² + 2x + 1)✓✓ (2)
- 7Factorise: 27x³ + 8(2)(3x + 2)(9x² − 6x + 4)✓✓ (2)
- 8Factorise: x² − 7x + 12(2)(x − 3)(x − 4)✓✓ (2)
- 9Factorise: 2x² + 7x + 3(2)(2x + 1)(x + 3)✓✓ (2)
TOTAL: 18 marks