State true or false: \[ \sqrt{3} x^{2}+11 x+6 \sqrt{3}=(x+3 \sqrt{3})(\sqrt{3} x+2) \]

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State true or false:
\[
\sqrt{3} x^{2}+11 x+6 \sqrt{3}=(x+3 \sqrt{3})(\sqrt{3} x+2)
\]
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