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