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13 August, 05:11

The area of a rectangle is (x^3 - 5x^2 + 3x - 15), and the width of the rectangle is (x^2 + 3). If area = length c width, what is the length of the rectangle?

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  1. 13 August, 05:14
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    Length = x-5

    Step-by-step explanation:

    Length = Area/width

    Length = x³-5x²+3x-15 / x²+3

    Re-arrange the numerator:

    Length=x³+3x-5x²-15/x²+3

    Take common from the numerator:

    Length=x (x²+3) - 5 (x²+3) / x²+3

    Length = (x²+3) (x-5) / x²+3

    Length = x-5

    Thus the answer is x-5 ...
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