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17 September, 20:32

The remainder after dividing x4 + 3x3 - 8x2 + 5x - 9 by x + 5 is

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  1. 17 September, 23:36
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    (x^4+3x^3-8x^2+5x-9) / (x+5)

    x^3 remainder - 2x^3-8x^2+5x-9

    -2x^2 remainder 2x^2+5x-9

    2x remainder - 5x-9

    -5 remainder 16

    (x+5) (x^3-2x^2+2x-5) + 16 / (x+5)

    so the remainder after division is:

    16 / (x+5)
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