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

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

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

factor

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

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

Solution steps

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

= (3 x^{3} - 2 x^{2}) + (- 6 x + 4)

Factor out

x^{2}

from

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

Factor out

- 2

from

- 6 x + 4 : - 2 (3 x - 2)

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

Factor out common term

3 x - 2

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

5 + (- 10)

x (7 x + 4) (x - 3)

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

(- 3 x)^{0}

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

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