Hello there!
7x² - 13x - 24
We wanna start by writing -13x as a sum or difference. So it should look like this:
7x² + 8x - 21x - 24
For 7x² + 8x we need to factor out x
x(7x + 8) - 21x - 24.
Now factor out -3 for -21x - 24
x(7x + 8) - 3(7x + 8)
Now we can factor out 7x + 8 from the expression
(7x + 8)(x - 3)
Let me know if you have any questions about the answer. As always, it is my pleasure to help students like you!