algebra
posted by shay on .
Essay. Show all work. the rectangular swimming pool is given by 2x^25x3 ft.^2. One side length of the pool is given by 2x+1 feet. What is an algebraic expression for the other side length of the pool? Simplify this, and include correct units as part of your answer.

Area = (2x+1)S = 2x^2  5x 3,
S = (2x^2 5x 3) / (2x+1),
Factor the numerator and get:
S = (x3)(2x+1) / (2x+1),
S = x  3. = Expression for other side.
The AC Method was used for factoring:
A*C = 2 * (3) = 6 = 1*(6) = 2*(3).
Select the pair of factors whose sum =
5:
2x^2 + x6x  3 = 0,
Group the 4 terms into 2 factorable pairs:
(2x^2+x) + (6x3) = 0,
x(2x+1)  3(2x+1) = 0,
(2x+1)(x3) = 0,