What is factor 12x^3+4x^2-3x-1 ?

The solution to factor 12x^3+4x^2-3x-1 is (3x+1)(2x+1)(2x-1)

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factor 12x^3+4x^2-3x-1

factor

12 x^{3} + 4 x^{2} - 3 x - 1

(3 x + 1) (2 x + 1) (2 x - 1)

Solution steps

12 x^{3} + 4 x^{2} - 3 x - 1

= (12 x^{3} + 4 x^{2}) + (- 3 x - 1)

Factor out

4 x^{2}

from

12 x^{3} + 4 x^{2} : 4 x^{2} (3 x + 1)

Factor out

- 1

from

- 3 x - 1 : - (3 x + 1)

= 4 x^{2} (3 x + 1) - (3 x + 1)

Factor out common term

(3 x + 1) : (3 x + 1) (4 x^{2} - 1)

= (3 x + 1) (4 x^{2} - 1)

Factor

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

= (3 x + 1) (2 x + 1) (2 x - 1)

3 a^{2} - 12 b^{2}

5 x^{2} \cdot y^{2} + 6 x^{2} \cdot y

[\frac{x - 2}{3 y}]^{3}

\frac{x ^{2}}{4} \cdot \frac{x ^{6}}{4}

\frac{( n - 4 ) !}{( n - 3 ) !}

What is factor 12x^3+4x^2-3x-1 ?
The solution to factor 12x^3+4x^2-3x-1 is (3x+1)(2x+1)(2x-1)