Question

1. $m^2 + 2m - 24$

Explanation:

Step1: Find two numbers

We need two numbers that multiply to -24 and add up to 2. The numbers are 6 and -4 since \(6\times(-4)= -24\) and \(6 + (-4)=2\).

Step2: Factor the quadratic

Using the numbers from Step 1, we can factor \(m^{2}+2m - 24\) as \((m + 6)(m - 4)\).

Answer:

\((m + 6)(m - 4)\)