# How do you factor #x^2+5x-24#?

##### 2 Answers

#### Explanation:

In order to factor, we need to consider 2 things.

1.) What are the factors of the constant?

2.) Which of those add to equal the coefficient before the x value?

In this particular equation, we have the constant being 24. The first two factors that come to mind are 6 and 4, and 8 and 3. Since it is -24, we need one of these numbers to be negative.

Let's look at our "b" value, or the coefficient behind the x value, 5. Looking at our factors and thinking of addition (since one of them must be negative, it will most likely be subtraction instead of addition) I can see that

This means that we can factor our equation using these numbers, getting us the following:

Hope this helped!

#### Explanation:

We need to look at factors of

whose sum is

The only pair satisfying this condition is