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Factorisation by Common Factors

Factorize 4...

Question

Factorize $4 x^{2} - 3 x - 7$

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Solution

$4 x^{2} - 3 x - 7$
$= 4 x^{2} + 4 x - 7 x - 7$
$= 4 x (x + 1) - 7 (x + 1)$
$= (4 x - 7) (x + 1)$

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