The coefficient of $x^{2}$ in $(2 x - 1) (2 x^{2} + 3 x - 5)$ is

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Solution

The correct option is B 4
$(2 x - 1) (2 x^{2} + 3 x - 5) = 2 x (2 x^{2} + 3 x - 5) - 1 (2 x^{2} + 3 x - 5)$ $= 4 x^{3} + 6 x^{2} - 10 x - 2 x^{2} - 3 x + 5$
$= 4 x^{3} + 4 x^{2} - 13 x + 5$
Thus, the coefficient of $x^{2}$ in $(2 x - 1) (2 x^{2} + 3 x - 5)$ is 4.
Hence, the correct answer is option (2).

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