What is factor x^3-6x^2+11x-6 ?

The solution to factor x^3-6x^2+11x-6 is (x-1)(x-2)(x-3)

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factor x^3-6x^2+11x-6

factor

x^{3} - 6 x^{2} + 11 x - 6

(x - 1) (x - 2) (x - 3)

Solution steps

x^{3} - 6 x^{2} + 11 x - 6

Use the rational root theorem

= (x - 1) \frac{x ^{3} - 6 x ^{2} + 11 x - 6}{x - 1}

\frac{x ^{3} - 6 x ^{2} + 11 x - 6}{x - 1} = x^{2} - 5 x + 6

= (x - 1) (x^{2} - 5 x + 6)

Factor

x^{2} - 5 x + 6 : (x - 2) (x - 3)

= (x - 1) (x - 2) (x - 3)

x^{2} + 2 x - 2 = 0

4 x^{2} - 12 x + 8

\frac{8}{- 2}

(\frac{3 - i 3}{3}) (\frac{2 + i 3}{3})

\frac{1}{i ^{- 14}}

What is factor x^3-6x^2+11x-6 ?
The solution to factor x^3-6x^2+11x-6 is (x-1)(x-2)(x-3)