graciegirlh6
Answered

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f(x) = (x^3)-(3x^2)-3x+1
factor please

Sagot :

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)

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