因式分解問題:(中學)

2006-10-25 8:45 am
(a) x^3+27
由這...因式分解x^3-7x+6

回答 (2)

2006-10-26 12:33 am
✔ 最佳答案
Because a^3+b^3=(a+b)(a^2-ab+b^2)
Therefore x^3+27
=x^3+3^3
=(x+3)(x^2-3x+9)

x^3-7x+6
=x^3-7x+6+21-21
=x^3-7x+27-21
=x^3+27-7(x+3)
=(x+3)(x^2-3x+9-7)
=(x+3)(x^2-3x+2)
2006-10-25 9:00 am
(x+3)(x^2-3x+9)

x^3-7x+6=(x+3)(x^2-3x+2)=(x+3)(x-1)(x-2)


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