Factorise:

Question:

Factorise:
z2 + 19z − 150

Solution:

The given expression is $z^{2}+19 z-150$.

Find two numbers that follow the conditions given below:

Sum $=19$

Product $=-150$

Clearly, the numbers are 25 and $-6$.

$z^{2}+19 z-150=z^{2}+25 z-6 z-150$

$=z(z+25)-6(z+25)$

$=(z+25)(z-6)$

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