Question : One of the factors of the expression $4\sqrt{3}x^{2}+5x-2\sqrt{3}$ is:
Option 1: $4x+\sqrt{3}$
Option 2: $4x+3$
Option 3: $4x-3$
Option 4: $4x-\sqrt{3}$
Correct Answer: $4x-\sqrt{3}$
Solution : $4\sqrt{3}x^{2}+5x-2\sqrt{3}$ = $4\sqrt{3}x^{2}+8x-3x-2\sqrt{3}$ = $4x(\sqrt{3}x+2)-\sqrt{3}(\sqrt{3}x+2)$ = $(4x-\sqrt{3})(\sqrt{3}x+2)$ Hence, the correct answer is $4x-\sqrt{3}$.
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