Factorise $x^{2} + 11x + 30$.

Factorise $x^{2} + 11x + 30$.
  1. $(x + 5)(x + 6)$
  2. $(x + 3)(x + 10)$
  3. $(x + 2)(x + 15)$
  4. $(x - 5)(x - 6)$

Solution

Need $a+b=11,ab=30$: $a=5,b=6$. So $(x+5)(x+6)$.

Asked in: IMO

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