3 years ago

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

Mathematics

1 answer:

Anni [7]3 years ago

5 0

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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