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2 April, 01:06

The area of a rectangular deck can be modeled by f (x) = 2x3 + 30x2 - 6x - 90. If x + 15 represents the width, which expression represents the length?

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  1. 2 April, 04:40
    0
    Area of a rectangle = length * width

    f (x) = 2x ³ + 30x² - 6x - 90

    f (x) = 2 (x³ + 15x² - 3x - 45)

    f (x) = 2 (x² (x + 15) - 3 (x+15))

    f (x) = 2 (x²-3) (x+15)

    If width = x+15, then

    length = 2 (x²-3) = 2x²-6
  2. 2 April, 05:04
    0
    Divide f (x) by x + 15

    this comes to 2x^2 - 6 which represents the length
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