What is factor 3x^3-2x^2+12x-8 ?

The solution to factor 3x^3-2x^2+12x-8 is (3x-2)(x^2+4)

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factor 3x^3-2x^2+12x-8

factor

3 x^{3} - 2 x^{2} + 12 x - 8

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

Solution steps

3 x^{3} - 2 x^{2} + 12 x - 8

= (3 x^{3} - 2 x^{2}) + (12 x - 8)

Factor out

x^{2}

from

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

Factor out

4

from

12 x - 8 : 4 (3 x - 2)

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

Factor out common term

3 x - 2

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

15 x - 21

x^{(2)} + 2 x - 3 = 0

x (x^{\frac{1}{3}})

2 \cdot \frac{2}{2}

(- 125)^{- \frac{2}{3}}

What is factor 3x^3-2x^2+12x-8 ?
The solution to factor 3x^3-2x^2+12x-8 is (3x-2)(x^2+4)