Sympathtic division of poly.

Q: -x^3+2x^2+2x-1 is divided by 2x-1, wt the quotient is?

我用sympathtic division計,計到-x^2+3/2x+11/4, remainder: 3/8

A: -1/2x^2+3/4x+11/8, remainder: 3/8

我用long division再試就岩

有冇人可以示範一次同埋指出我錯左係邊?

1 個解答

評分
  • 8 年前
    最愛解答

    I think it is synthetic division, cause sympathetic division is biology stuff...

    First you got the answer -x^2+3/2x+11/4

    However you need to further divide them by 2

    That is -1/2x^2+3/4x+11/8

    e.g. 4x^2 - 4x + 1

    Using synthetic division, the divisor is 2x-1, you will first get 4x-2

    However as the divisor is 2x-1, you need to further divide them by 2

    That is 2x-1

    If the divisor is 3x-1, then you should divide them by 3

    2012-05-22 21:30:17 補充:

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    http://i162.photobucket.com/albums/t259/joanna_969...

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