ECZ 2021 · GCE Paper 1 — Algebra

Factorise completely 2x² − x − 6.

  • A. (2x − 3)(x + 2)
  • B. (2x + 3)(x − 2)
  • C. (x − 3)(2x + 2)
  • D. (2x + 1)(x − 6)

Verified working — step 1

Look for two numbers multiplying to 2 × (−6) = −12 and adding to −1: they are −4 and 3. Split: 2x² − 4x + 3x − 6 = 2x(x − 2) + 3(x − 2) = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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