SSC CPO SI and ASI 2013 Paper

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Question : 121 of 200

Marks: +1, -0

One of the factors of the expression

4 √{3} x^{2}+5 x

-2√{3}

is

$4 x+√{3}$
$4 x+3$
$4 x-3$
$4 x-√{3}$

Solution:

(4) The value of

4 √{3} x^{2}+5 x-2 √{3}

=4√{3} x^{2}+8 x-3 x-2 √{3}

=4 x(√{3} x+2)-√{3}(√{3} x+2)

=(√{3} x+2)(4 x-√{3})

Hence

4 x-√{3}

is the factor.

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