What is factor x^3-3x^2+3x-2 ?

The solution to factor x^3-3x^2+3x-2 is (x-2)(x^2-x+1)

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factor x^3-3x^2+3x-2

factor

x^{3} - 3 x^{2} + 3 x - 2

(x - 2) (x^{2} - x + 1)

Solution steps

x^{3} - 3 x^{2} + 3 x - 2

Use the rational root theorem

= (x - 2) \frac{x ^{3} - 3 x ^{2} + 3 x - 2}{x - 2}

\frac{x ^{3} - 3 x ^{2} + 3 x - 2}{x - 2} = x^{2} - x + 1

= (x - 2) (x^{2} - x + 1)

+ 12 x^{2} + 17 x + 6

a^{2} \times a^{3}

7 \cdot (- 2)

\frac{1}{3} (6 a - 9 b)

- 25 + 3

What is factor x^3-3x^2+3x-2 ?
The solution to factor x^3-3x^2+3x-2 is (x-2)(x^2-x+1)