Question : Factorise: $x^{2}+5x-14$.
Option 1: $(x-7)(x+2)$
Option 2: $(x-1)(x+14)$
Option 3: $(x+7)(x-2)$
Option 4: $(x-14)(x+1)$
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Correct Answer: $(x+7)(x-2)$
Solution : Given: $x^{2}+5x-14$ After middle-term splitting, $= x^{2}+7x-2x-14$ $= x(x+7)-2(x+7)$ $= (x+7)(x-2)$ Hence, the correct answer is $(x+7)(x-2)$.
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