Factorise: z^2-12 z-45 - Vidyadip

Question

Factorise:
$z^2-12 z-45$

✓

Answer

$z^2-12 z-45$
$=z^2-15 z+3 z-45$
$\{-45=-15 \times 3,-12=-15+3\}$
$=z(z-15)+3(z-15)$
$=(z-15)(z+3)$

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