The initial expression is:
[tex]x^2+5x+6[/tex]We need to identify the coefficients of the expressions: 1 besides x^2, 5 beside x, and 6 as a constant.
Taking into account that the coefficient of x^2 is 1, to factorize we just need to find 2 numbers whose sum is 5 and multiplication is 6.
Those numbers are +2 and +3, So the factors of the expression are:
(x + 2)(x + 3)
Because: +2 + 3 = 5
2*3 = 6
Answer: (x + 2)(x + 3)
