Factorising monic quadratics

Factorising monic quadratics

Secondary 2
TGM Original Questions

Factorise each of the following expressions completely.

  1. \(a^{2} - 5a - 36\)
  2. \(b^{2} - 9b + 14\)
  3. \(c^{2} + 11c + 30\)
  4. \(d^{2} + 5d - 24\)
  5. \(e^{2} - 9e - 22\)
  6. \(f^{2} + 13f + 36\)
  7. \(g^{2} - 11g + 30\)
  8. \(h^{2} + 11h - 12\)

Solution:

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Answer:(a) \((a - 9)(a + 4)\); (b) \((b - 7)(b - 2)\); (c) \((c + 5)(c + 6)\); (d) \((d + 8)(d - 3)\); (e) \((e - 11)(e + 2)\); (f) \((f + 9)(f + 4)\); (g) \((g - 6)(g - 5)\); (h) \((h + 12)(h - 1)\).

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