Factorize:

x2 + 5x + 6

Given,


x2 + 5x + 6


Now first find the numbers whose-


Sum = 5 and


Product = 6


Required numbers are 2 and 3,


So we get;


x2 + 5x + 6


= x2 + 2x + 3x + 6


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


= (x + 2)(x + 3)


1