The area of a rectangular swimming pool is 10x^2 - 19x - 15. The length of the pool is 5x + 3. What is the width of the pool?
To find the width of the pool, we must divide the area of the pool by the length.
Width = Area / Length
Width = (10x^2 - 19x - 15) / (5x + 3)
Now, we will perform long division to divide the area by the length:
2x - 9
___________
5x + 3 | 10x^2 - 19x - 15
- (10x^2 + 6x)
_______________
-25x - 15
- (-25x - 15)
_______________
0
So, the width of the pool is 2x - 9.