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)