Factorise:
$z^{2} + 19 z - 150$

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Solution

$z^{2} + 19 z - 150 = z^{2} + 25 z - 6 z - 150 {\begin{matrix} ∵ - 150 = 25 \times (- 6) 19 = 25 - 6 \end{matrix}} = z (z + 25) - 6 (z + 25) = (z + 25) (z - 6) A n s .$

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