Divide $g (t) = 4 t^{3} + 4 t^{2} - t - 1$ by $f (t) = 2 t + 1$ find $q$ and $R$ .

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Solution

$g (t) = 4 t^{3} + 4 t^{2} - t - 1 f (t) = 2 t + 1$
$∴ q = 2 t^{2} + t - 1$ and $R = 0$

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