CHING WAI 發問於 科學及數學數學 · 1 十年前

dividing polynoials --------VERY URGENT

1. (x^4 + x^2 - 2x + 6 ) / x^2 - 2x +2 (151b)<--- no need to care about this one

2. (X^4 +4X^2 +16) / (X^2-2X+4) (152a)<-----no need to care this

3. (x^3+8) / (x+2) (152a)

4. (2x^4-18x^2+3x-4) / (x^3 - 3x^2 -2 ) (153a)

5. (x^4 - y^4) / (x-y) (152b)

1 個解答

評分
  • 1 十年前
    最愛解答

    1. (x^4 + x^2 - 2x + 6 ) / x^2 - 2x +2

    = x^2 + 2x +3

    用長除法

    -------------------------------------------------------

    2. (x^4 +4x^2 +16) / (x^2-2x+4)

    = (x^2+2x+4)

    用長除法

    -------------------------------------------------------

    3. (x^3+8) / (x+2)

    = (x+2) (x^2 - 2x + 4) / (x+2)

    = (x^2 - 2x + 4)

    -------------------------------------------------------

    4. (2x^4-18x^2+3x-4) / (x^3 - 3x^2 -2 )

    = (2x+6) 餘 (7x+8)

    用長除法

    -------------------------------------------------------

    5. (x^4 - y^4) / (x-y)

    = (x^2 - y^2) (x^2 + y^2)/ (x-y)

    = (x - y) (x + y) (x^2 + y^2)/ (x-y)

    = (x + y) (x^2 + y^2)

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