Algebra-1

To solve the equation by factoring, let's rearrange it to bring all the terms to one side:

x² - 11x + 24 = 0

Next, we're looking for two numbers whose product is equal to the product of the coefficient of x² (which is 1) and the constant term (which is 24). In other words, we have:

mn = ac

In this case, a = 1 and c = 24, so we have:

mn = 1 * 24
mn = 24

We're also looking for two numbers, m and n, such that their sum is equal to the coefficient of x (which is -11). In other words, we have:

m + n = b

In this case, b = -11.