Answer:
5x^2 - 19x + 15
Explanation:
We must multiply the pool's length and width to determine its area. We can factor the equation f(x)=(x-3)(5x+2) to determine the length and width:
f(x) = (x-3)(5x+2)
f(x) = 5x^2 - 13x - 6
One of the parameters is the pool's length (x-3), while the other is its breadth (5x+2). We multiply these two elements to determine the area:
Area is length times width (x-3)
(5x+2)
By extending this statement using FOIL (First, Outer, Inner, Last), we may make it simpler:
Area is equal to 5x^2 - 13x - 6x + 15
Area: 5x^2 - 19x + 15
The pool at Philip and Laura's home is therefore 5x^2 - 19x + 15 square feet in size. We are unable to establish the precise square footage of the pool because we were not given a specific figure for x.