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One factor of $5 + 8 x - 4 x^{2}$ is (2x + 1). So other factor will be :

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-5 + 2x

6 + 8x

7 + 7x

8 + 2x

answer is A.

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Detailed Solution

$\Rightarrow 5 + 8 x - 4 x^{2} = 0$

$\Rightarrow 4 x^{2} - 8 x - 5 = 0$
$\Rightarrow 4 x^{2} - 10 x + 2 x - 5 = 0$
$\Rightarrow (2 x + 1) (2 x - 5) = 0$
So, Other factor = 2x - 5

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