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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Answer (1)
23rd Jan, 2024
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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