What is factor 4x^3+24x^2-9x-54 ?

The solution to factor 4x^3+24x^2-9x-54 is (x+6)(2x+3)(2x-3)

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factor 4x^3+24x^2-9x-54

factor

4 x^{3} + 24 x^{2} - 9 x - 54

(x + 6) (2 x + 3) (2 x - 3)

Solution steps

4 x^{3} + 24 x^{2} - 9 x - 54

= (4 x^{3} + 24 x^{2}) + (- 9 x - 54)

Factor out

4 x^{2}

from

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

Factor out

- 9

from

- 9 x - 54 : - 9 (x + 6)

= 4 x^{2} (x + 6) - 9 (x + 6)

Factor out common term

x + 6

= (x + 6) (4 x^{2} - 9)

Factor

4 x^{2} - 9 : (2 x + 3) (2 x - 3)

= (x + 6) (2 x + 3) (2 x - 3)

\frac{61}{4}

+ \frac{35}{- 7}

s^{2} - 6 s + 5

3 x^{2} + x - 24

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

What is factor 4x^3+24x^2-9x-54 ?
The solution to factor 4x^3+24x^2-9x-54 is (x+6)(2x+3)(2x-3)