Factorise.
$4 x^{2} + 3 x - 7$

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Solution

$4 x^{2} + 3 x - 7$
$= 4 x^{2} + 7 x - 4 x - 7$
$= x (4 x + 7) - 1 (4 x + 7)$
$= (4 x + 7) (x - 1)$
Hence the factors are $(4 x + 7) (x - 1)$

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