\(x^3+3x^2+6x+4\)
\(=x^3+x^2+2x^2+2x+4x+4\)
\(=\left(x+1\right)\left(x^2+2x+4\right)\)
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\(x^3+3x^2+6x+4\)
\(=x^3+x^2+2x^2+2x+4x+4\)
\(=\left(x+1\right)\left(x^2+2x+4\right)\)