Respuesta :

Answer:

(x-8) Explanation below.

Step-by-step explanation:

(Search up some formulas for factoring, they can help)

Don't worry, factoring will get easier the more you practice.

So we know that (x+3) * something = x^2 - 5x -24

Here's what you do.

Factoring this, a trinomial.

Your factored answer will look something like this. (x+something)(x-something)

1. Look at the first term. It is x^2. So start out like this.

(x+3)(x-something)

2. Here's the trickier part. That something variable needs to fulfill two things.

A. 3*something must equal -24 as shown in the equation.

B. 3+something must equal -5 for the middle part of the equation.

Hm, looks like 8 seems like a good answer.

So your answer will factor into

(x+3)(x-8)

If you want more explanation on distribution, just leave a comment.