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Grade 10 · Algebraic Expressions
Multiplying a Binomial by a Trinomial (Grade 10)
MEMORANDUM
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Mark
  / 14

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.

  1. 1
    Expand: (x + 1)(x² + 2x + 3)
    (2)
    x³ + 3x² + 5x + 3✓✓ (2)
  2. 2
    Expand: (x + 3)(x² − x + 2)
    (2)
    x³ + 2x² − x + 6✓✓ (2)
  3. 3
    Expand: (2x + 1)(x² + 3x − 2)
    (2)
    2x³ + 7x² − x − 2✓✓ (2)
  4. 4
    Expand: (x − 2)(x² + 2x + 4)
    (2)
    x³ − 8 (difference of cubes)✓✓ (2)
  5. 5
    Expand: (x + 5)(x² − 5x + 25)
    (2)
    x³ + 125✓✓ (2)
  6. 6
    Expand: (3x − 1)(x² − x + 2)
    (2)
    3x³ − 4x² + 7x − 2✓✓ (2)
  7. 7
    How many products before collecting, for a binomial × trinomial?
    (2)
    Six (2 × 3)✓✓ (2)
TOTAL: 14 marks
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