x^4+3x^3+3x^2+3x+2
=x^4+3x^3+3x^2+x+2x+2
=x(x^3+3x^2+3x+1)+2(x+1)
=x(x+1)^3+2(x+1)
=(x+1)(x^3+2x^2+x+2)
=(x+1)[x^2(x+2)+(x+2)]
=(x+1)(x+2)(x^2+1)
如果本题有什么不明白可以追问,
另外发并点击我的头像向我求助,请谅解,
x^4+3x^3+3x^2+3x+2
=x^4+3x^3+3x^2+x+2x+2
=x(x^3+3x^2+3x+1)+2(x+1)
=x(x+1)^3+2(x+1)
=(x+1)(x^3+2x^2+x+2)
=(x+1)[x^2(x+2)+(x+2)]
=(x+1)(x+2)(x^2+1)
如果本题有什么不明白可以追问,
另外发并点击我的头像向我求助,请谅解,