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)