11. What is the solution set of the equationX^2 - 5X - 24 = 0

(x+3) (x-8)

Explanation:

Let's factor x2-5x-24

x2-5x-24

The middle number is - 5 and the last number is - 24.

Factoring means we want something like

(x+_) (x+_)

Which numbers go in the blanks?

We need two numbers that ...

Add together to get - 5

Multiply together to get - 24

Can you think of the two numbers?

Try 3 and - 8:

3+-8 = - 5

3*-8 = - 24

Fill in the blanks in

(x+_) (x+_)

with 3 and - 8 to get ...

(x+3) (x-8)