What is factor 4x^3+8x^2-9x-18 ?

The solution to factor 4x^3+8x^2-9x-18 is (x+2)(2x+3)(2x-3)

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factor 4x^3+8x^2-9x-18

factor

4 x^{3} + 8 x^{2} - 9 x - 18

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

Solution steps

4 x^{3} + 8 x^{2} - 9 x - 18

= (4 x^{3} + 8 x^{2}) + (- 9 x - 18)

Factor out

4 x^{2}

from

4 x^{3} + 8 x^{2} : 4 x^{2} (x + 2)

Factor out

- 9

from

- 9 x - 18 : - 9 (x + 2)

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

Factor out common term

x + 2

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

Factor

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

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

- 12 (15)

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

3 (3 x + 2) + 2

- 12 + (- 3)

3^{4} \cdot 3^{6}

What is factor 4x^3+8x^2-9x-18 ?
The solution to factor 4x^3+8x^2-9x-18 is (x+2)(2x+3)(2x-3)