Using long division method, divide the polynomial $8 x^{2} - 2 - 3 x + 12 x^{3}$ by $4 x^{2} - 1$

3 x - 2

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3 x + 2

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3 x

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x + 2

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Solution

The correct option is B $3 x + 2$
$3 x + 2$
$4 x^{2} - 1$ $12 x^{3} + 8 x^{2} - 3 x - 2$
$12 x^{3} - 3 x$
$8 x^{2} - 2$
$8 x^{2} - 2$
$0$
$(8 x^{2} - 2 - 3 x + 12 x^{3}) \div$ $(4 x^{2} - 1) = 3 x + 2$

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