The area of a rectangular swimming pool is 10x2 – 19x – 15. The length of the pool is 5x + 3. What is the width of the pool?
(1 point)
Responses
2x – 18
2 x – 18
2x – 5
2 x – 5
5x – 5
5 x – 5
5x – 22
5 x – 22
To find the width of the pool, we need to divide the area of the pool by the length.
So, the width of the pool is (10x^2 - 19x - 15) / (5x + 3).
Using polynomial long division, we get:
10x - 25
______________
5x + 3 | 10x^2 - 19x - 15
- (10x^2 + 6x)
--------------
- 25x - 15
- (- 25x - 15)
--------------
0
Therefore, the width of the pool is 2x - 5.
So, the answer is: 2x - 5.