What is factor 6x^3+3x^2-2x-1 ?

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

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factor 6x^3+3x^2-2x-1

factor

6 x^{3} + 3 x^{2} - 2 x - 1

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

Solution steps

6 x^{3} + 3 x^{2} - 2 x - 1

= (6 x^{3} + 3 x^{2}) + (- 2 x - 1)

Factor out

3 x^{2}

from

6 x^{3} + 3 x^{2} : 3 x^{2} (2 x + 1)

Factor out

- 1

from

- 2 x - 1 : - (2 x + 1)

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

Factor out common term

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

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

x^{3} - x^{2} - 56 x

3 x + 8 = 5 x

\frac{5}{2} - 1

x^{3} - 12 x^{2} + 29 x - 18 < 0

10 \cdot 6

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