Split the middle term
$x^{2} + 250 x - 750000$

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Solution

$x^{2} + 250 x - 750000$
$= x^{2} + 1000 x - 750 x - 750000$
$= x (x + 1000) - 750 (x + 1000)$
$= (x + 1000) (x - 750)$

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