Question 4 (2 points)
Factor:
\[
x^{2}+7 x+12
\]

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 7 in this case) and their product is equal to the constant term (which is 12 in this case).

Step 2 ：Let's denote the coefficients as follows: \(a = 1\), \(b = 7\), \(c = 12\).

Step 3 ：We need to find the factors of the quadratic equation \(x^{2}+7 x+12\). The factors are 3 and 4, as their sum is 7 and their product is 12.

Step 4 ：Therefore, the factored form of the equation is \((x+3)(x+4)\).

Step 5 ：\(\boxed{(x+3)(x+4)}\) is the final answer.