Question: Factorise:
x2 + 5x + 6
Solution:
The given expression is $x^{2}+5 x+6$.
Find two numbers that follow the conditions given below :
Sum $=5$
Product $=6$
Clearly, the numbers are 3 and 2 .
$x^{2}+5 x+6=x^{2}+3 x+2 x+6$
$=x(x+3)+2(x+3)$
$=(x+3)(x+2)$
