Question: Factorise:
x2 + 5x − 104
Solution:
The given expression is $x^{2}+5 x-104$.
Find two numbers that follow the conditions given below:
Sum $=5$
Product $=-104$
Clearly, the numbers are 13 and $-8 .$
$x^{2}+5 x-104=x^{2}+13 x-8 x-104$
$=x(x+13)-8(x+13)$
$=(x+13)(x-8)$