Factorise:

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 .

$x^{2}+5 x+6=x^{2}+3 x+2 x+6$

$=x(x+3)+2(x+3)$

$=(x+3)(x+2)$

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