Factorising non-monic quadratics

Factorising non-monic quadratics

Secondary 2
TGM Original Questions

Factorise each of the following expressions completely.

  1. \(2a^{2} - 9a - 5\)
  2. \(6b^{2} + 17b - 14\)
  3. \(4c^{2} - 5c - 6\)
  4. \(10d^{2} + 13d - 3\)
  5. \(15e^{2} - 14e - 8\)
  6. \(4f^{2} - 7f - 15\)
  7. \(6g^{2} + 23g - 4\)
  8. \(15h^{2} + h - 2\)

Solution:

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Answer:(a) \((2a + 1)(a - 5)\); (b) \((3b - 2)(2b + 7)\); (c) \((4c + 3)(c - 2)\); (d) \((5d - 1)(2d + 3)\); (e) \((3e - 4)(5e + 2)\); (f) \((4f + 5)(f - 3)\); (g) \((6g - 1)(g + 4)\); (h) \((5h + 2)(3h - 1)\).

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