Question

A rectangle's area is `x^2-x-72`. What are possible dimensions of the rectangle?

Answer 1

`(x-9)(x+8)`

Explanation:

Let's see if we can factor `x^2-x-72`. What two numbers sum up to `-1` and have a product of `-72`?

After some trial and error, we arrive at `-9` and `8`. Thus, we now have

`(x-9)(x+8)`

Where these can represent the sides of the rectangles.

Hope this helps!