Divide $4 x^{2} - 8 x + 3$ by $2 x - 1$ .

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Solution

We can do this by long division method.
i) $\frac{4 x^{2}}{2 x} = 2 x$
ii) $\frac{- 6 x}{2 x} = - 3$

$∴ 4 x^{2} - 8 x + 3 = (2 x - 1) (2 x - 3)$

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