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 need to divide the area of the pool by the length.
Area of the pool = 10x^2 - 19x - 15
Length of the pool = 5x + 3
Width = Area / Length
Width = (10x^2 - 19x - 15) / (5x + 3)
To divide the polynomial, we need to use long division or synthetic division.
10x^2 - 19x - 15 divided by 5x + 3 results in 2x - 5.
Therefore, the width of the pool is 2x - 5.