Question

Q8:The factors of √3 x²+11x+6√3 are:
2 points
(x-3√3)(√3x+2)
ac-bd+bc-ad
(x+3√3)(√3x+2)
None of these

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Answer 1

$\rm \: \sqrt{3 } {x}^{2} + 11x + 6 \sqrt{3}$

$\mapsto \rm \: \sqrt{3} {x}^{2} + 9x + 2x + 6 \sqrt{3}$

$\mapsto \rm \: \sqrt{3} {x}^{2} + 3 \sqrt{3 \times 3} x + 2x + 6 \sqrt{3}$

$\mapsto \rm \: \sqrt{3} x(x + 3 \sqrt{3} ) + 2(x + 3 \sqrt{3} )$

$\mapsto \rm \: (x + 3 \sqrt{3} ) \sqrt{3} x + 2)$

$\rm \: option \: \bold{c}$