What is factor x^3-6x^2+9x-2 ?

The solution to factor x^3-6x^2+9x-2 is (x-2)(x^2-4x+1)

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factor x^3-6x^2+9x-2

factor

x^{3} - 6 x^{2} + 9 x - 2

(x - 2) (x^{2} - 4 x + 1)

Solution steps

x^{3} - 6 x^{2} + 9 x - 2

Use the rational root theorem

= (x - 2) \frac{x ^{3} - 6 x ^{2} + 9 x - 2}{x - 2}

\frac{x ^{3} - 6 x ^{2} + 9 x - 2}{x - 2} = x^{2} - 4 x + 1

= (x - 2) (x^{2} - 4 x + 1)

- (- 1)^{4}

1 + \frac{1}{4}

1 6^{\frac{4}{3}}

22 \times 32

(2 x - 1) (- 2 x^{2} - 7 x - 7)

What is factor x^3-6x^2+9x-2 ?
The solution to factor x^3-6x^2+9x-2 is (x-2)(x^2-4x+1)