The value of m for which will $2 x^{2} + m x y + 3 y^{2} - 5 y - 2$ can be split into two factors is

7

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- 7

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0

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5

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Solution

The correct option is B $- 7$
$2 x^{2} + m x y + 3 y^{2} - 5 y - 2$

$\Rightarrow 2 x^{2} + m z y + 6 y^{2} = 3 y^{2} - 5 y - 2$

$\Rightarrow (2 x^{2} + m x y + 6 y^{2}) - (3 y^{2} + 5 y + 2)$

$\Rightarrow m = - 7$

$2 x^{2} - 7 x y + 6 y^{2} - (3 y^{2} + 3 y + 2 y + 2)$

$\Rightarrow (2 x^{2} - 3 x y - 4 x y + 6 y^{2}) - (3 y + 2) (y + 1)$

$\Rightarrow (2 x^{2} - 3 x y - 4 x y + 6 y^{2}) - (3 y + 2) (y + 1)$

$\Rightarrow (2 x - 3 y) (x - 2 y) - (3 y + 2) (y + 1)$

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