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

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

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

factor

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

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

Solution steps

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

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

Factor out

3 x^{2}

from

3 x^{3} + 12 x^{2} : 3 x^{2} (x + 4)

Factor out

- 2

from

- 2 x - 8 : - 2 (x + 4)

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

Factor out common term

x + 4

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

- 2 \cdot \frac{3}{5}

3 x 1 0^{- 4}

x^{3} + 3 x^{2} - 18 x

\frac{1}{2 x + 1} + \frac{1}{2 x - 1}

(t - 2) (t^{2} - 5 t + 1)

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