x³+4x²+2x+1=(x³+2x²)+(x²+4x+4)+x²-2x-3=x²(x+2)+(x+2)²+(x-3)(x+1)=(x+2)(x²+x+2)+(x-3)(x+1)在实数范围内好像不能分解x³-4x²+2x+1=x³-x²-3x²+2x+1=x²(x-1)-(x-1)(3x+1)=(x-1)(x²-3x-1)