What is factor 3x^3+x^2-27x-9 ?

The solution to factor 3x^3+x^2-27x-9 is (3x+1)(x+3)(x-3)

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factor 3x^3+x^2-27x-9

factor

3 x^{3} + x^{2} - 27 x - 9

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

Solution steps

3 x^{3} + x^{2} - 27 x - 9

= (3 x^{3} + x^{2}) + (- 27 x - 9)

Factor out

x^{2}

from

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

Factor out

- 9

from

- 27 x - 9 : - 9 (3 x + 1)

= x^{2} (3 x + 1) - 9 (3 x + 1)

Factor out common term

3 x + 1

= (3 x + 1) (x^{2} - 9)

Factor

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

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

- 6 \cdot 12

14 y + 22 - 15 y^{2} + 23 y

x^{2} + 8 x - 240

16 x^{12} - 1

What is factor 3x^3+x^2-27x-9 ?
The solution to factor 3x^3+x^2-27x-9 is (3x+1)(x+3)(x-3)