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

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

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

factor

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

(x - 2) (x^{2} + 6)

Solution steps

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

= (x^{3} - 2 x^{2}) + (6 x - 12)

Factor out

x^{2}

from

x^{3} - 2 x^{2} : x^{2} (x - 2)

Factor out

6

from

6 x - 12 : 6 (x - 2)

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

Factor out common term

x - 2

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

(1 0^{- 3})^{2}

\frac{2}{7}

6^{2} + 1 0^{2}

8 \cdot 30

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

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