Katy 發問於 科學及數學數學 · 8 年前

F.2數學難題!急!!!20 points!!!

i want steps pls:((

Factorization

2x cube + 7x square + 4x - 4

ans: (x+2)square(2x-1)

Using the result above, find all the prime factors of 2736.

ans: 2, 3, 19

thanks!!!!!!!!!!!!!!!!

2 個解答

評分
  • 8 年前
    最愛解答

    Factorization

    2x^3+7x^2+4x-4

    Sol

    2x^3+7x^2+4x-4

    =(2x^3+4x^2)+(3x^2+6x)+(-2x-4)

    =2x^2(x+2)+3x(x+2)-2(x+2)

    =(2x^2+3x-2)(x+2)

    =(2x-1)(x+2)(x+2)

    =(2x-1)(x+2)^2

    Using the result above,find all the prime factors of 2736.

    2736

    =2740-4

    =2*x^10+7*10^3+4*10-4=(2*10-1)*(10+2)^2

    =19*12^2

    =19*2^4*3^2

    =2^4*3^2*19

    Ans:2,3,19

  • 8 年前

    可5可以用 remainder thm. ??

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