What is factor 4x^3-24x^2-x+6 ?

The solution to factor 4x^3-24x^2-x+6 is (x-6)(2x+1)(2x-1)

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factor 4x^3-24x^2-x+6

factor

4 x^{3} - 24 x^{2} - x + 6

(x - 6) (2 x + 1) (2 x - 1)

Solution steps

4 x^{3} - 24 x^{2} - x + 6

= (4 x^{3} - 24 x^{2}) + (- x + 6)

Factor out

4 x^{2}

from

4 x^{3} - 24 x^{2} : 4 x^{2} (x - 6)

Factor out

- 1

from

- x + 6 : - (x - 6)

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

Factor out common term

(x - 6) : (x - 6) (4 x^{2} - 1)

= (x - 6) (4 x^{2} - 1)

Factor

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

= (x - 6) (2 x + 1) (2 x - 1)

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

14 \cdot (- 2)

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

100 x^{2} - 49 y^{2}

x^{3} y - 81 x y

What is factor 4x^3-24x^2-x+6 ?
The solution to factor 4x^3-24x^2-x+6 is (x-6)(2x+1)(2x-1)