Algebra-1

To factor the quadratic expression x² + 7x + 12 by grouping, we can use the AC method. This method involves finding two numbers, m and n, such that their product mn is equal to the product of the coefficient of the quadratic term and the constant term (ac), and their sum m + n is equal to the coefficient of the linear term (b).

In this case, the quadratic expression is x² + 7x + 12, where:
a = 1 (coefficient of the quadratic term),
b = 7 (coefficient of the linear term),
c = 12 (constant term).

We need to find two numbers m and n that multiply to ac (12 in this case) and add up to b (7 in this case).

After examining the factors of 12, we find that the numbers 3 and 4 satisfy these conditions:
3 * 4 = ...