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Answer:
(x+1)(x²-4x+1)
Step-by-step explanation:
f(x) = x³-3x²-3x+1
= (x³+1) - 3x (x+1)
= (x+1)(x²-x+1) - 3x(x+1)
= (x+1)(x²-x+1-3x)
= (x+1)(x²-4x+1)
** (x+1)(x²-4x+1) = (x+1)((x-2)² - 3)
= (x+1)((x-2)² - (√3)²)
= (x+1)(x-2-√3)(x-2+√3)