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Essay. Show all work. the rectangular swimming pool is given by 2x^2-5x-3 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.

  • algebra -

    Area = (2x+1)S = 2x^2 - 5x -3,
    S = (2x^2 -5x -3) / (2x+1),
    Factor the numerator and get:
    S = (x-3)(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 + x-6x - 3 = 0,
    Group the 4 terms into 2 factorable pairs:
    (2x^2+x) + (-6x-3) = 0,
    x(2x+1) - 3(2x+1) = 0,
    (2x+1)(x-3) = 0,

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