Factor completely. \[ x^{2}+5 x+6 \] Enter your answer in the box.

Step 1 ：The given expression is a quadratic equation of the form \(ax^2 + bx + c\). To factorize it, we need to find two numbers such that their sum is equal to the coefficient of \(x\) (which is 5 in this case) and their product is equal to the constant term (which is 6 in this case).

Step 2 ：The two numbers that satisfy these conditions are 2 and 3. Therefore, the factored form of the given expression is \((x + 2)(x + 3)\).

Step 3 ：Final Answer: \(\boxed{(x + 2)(x + 3)}\)