What is factor x^4-6x^3+13x^2-12x+4 ?

The solution to factor x^4-6x^3+13x^2-12x+4 is (x-1)^2(x-2)^2

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factor x^4-6x^3+13x^2-12x+4

factor

x^{4} - 6 x^{3} + 13 x^{2} - 12 x + 4

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

Solution steps

x^{4} - 6 x^{3} + 13 x^{2} - 12 x + 4

Use the rational root theorem

= (x - 1) \frac{x ^{4} - 6 x ^{3} + 13 x ^{2} - 12 x + 4}{x - 1}

\frac{x ^{4} - 6 x ^{3} + 13 x ^{2} - 12 x + 4}{x - 1} = x^{3} - 5 x^{2} + 8 x - 4

= (x - 1) (x^{3} - 5 x^{2} + 8 x - 4)

Factor

x^{3} - 5 x^{2} + 8 x - 4 : (x - 1) (x - 2) (x - 2)

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

Simplify

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

15 x + 20

- 10 \frac{\frac{2}{7}}{( - 4 \frac{4}{11} )}

\frac{1}{2} \times (- 8)

245 - 95

(x - 1)^{2} (x + 2)^{3}

What is factor x^4-6x^3+13x^2-12x+4 ?
The solution to factor x^4-6x^3+13x^2-12x+4 is (x-1)^2(x-2)^2