Factorise $6x^{2} + 11x - 10$.

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

Solution

Product $= -60$, sum $= 11$: $15,-4$. $6x^{2}+15x-4x-10 = 3x(2x+5)-2(2x+5) = (3x-2)(2x+5)$.

Asked in: IMO

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