中科新闻网课文灰雀的资料:因式分解 x^9+x^6+x^3-3
来源：百度文库 编辑：中科新闻网 时间：2024/05/01 21:21:41
要有过程
x^9+x^6+x^3-3
=(X^9-1)+(X^6-1)+(X^3-1)
=(X^3-1))(X^6+X^3+1)+(X^3-1)(X^3+1)+(X^3-1)
=(X^3-1)(X^6+1+X^3+X^3+1+1)
=(X^3-1)(X^6+2X^3+3)
=(X-1)(X^2+X+1)(X^6+2X^3+3)
求导f(x)'=9X^8+6X^5+3X^2
=x^2(9X^6+6X^3+3)
=X^2(3X^6-1)(3X^3+3)
=(X^9-1)+(X^6-1)+(X^3-1)
=(X^3-1))(X^6+1+X^3)+(X^3+1)(X^3-1)+(X^3-1)
=(X^3-1)(X^6+1+X^3+X^3+1+1)
=(X^3-1)(X^6+2X^3+3)
1( x^9+x^6+x^3-3)
1(x^9+x^6+x^3-3)
3楼的好厉害，我瞪了半天都解不出呢。