The area of a rectangle swimming pool is 10x^2-19x-15. the length of the pool is 5x+3. What is the width of the pool?

Given the area of the rectangle swimming pool: 10x^2 - 19x - 15 and the length of the pool 5x + 3. Find the width of the pool. Recall from geometry that the area of a rectangle is length x width. Therefore, to solve for the width of the pool, we need to divide the area by the length. This can be done by polynomial division:

10x^2 - 19x - 15 / (5x+3)

Find the other factor that when multiplied with (5x+3) will result to the area:

Answer: (5x+3) (5x-5)