X3+3x2+4x+2=? 详细步骤X3+3x2+4x+2=? 详细步骤
问题描述：
X3+3x2+4x+2=? 详细步骤
X3+3x2+4x+2=? 详细步骤
答
x^3 + 3x^2 + 4x + 2 = x^3 + 3x^2 + 3x + 1 + x+1
= (x+1)^3+(x+1)
=(x+1) { (x+1)^2+1 }
x^3 + 3x^2 + 4x + 2 =0 有三个根：-1，-1+i ，-1-i
答
x³+3x²+4x+2
=x³+x²+2x²+4x+2
=x²(x+1)+2(x²+2x+1)
=x²(x+1)+2(x+1)²
=(x+1)(x²+2x+2)
如果有疑问,