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5 September, 07:33

The area of a rectangle is (x4 + 4x3 + 3x2 - 4x - 4), and the length of the rectangle is (x3 + 5x2 + 8x + 4). If area = length * width, what is the width of the rectangle?

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  1. 5 September, 08:18
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    Area = x4 + 4x3 + 3x2 - 4x - 4

    Length = x3 + 5x2 + 8x + 4

    Width = Area / Length.

    Performing long division with polynomial.

    x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1

    Width = x-1
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