For this case we must factor the following expression:
[tex]x ^ 2-2x-24[/tex]
We must find two numbers that when added together give "-2" and when multiplied by "-24"
These numbers are:
[tex]-6\ and\ +4\\-6 + 4 = -2\\-6 * + 4 = -24[/tex]
So:
[tex]x ^ 2-2x-24 = (x-6) (x + 4)[/tex]
Answer:
[tex](x-6) (x + 4)[/tex]
Option A and D