What is factor x^4+3x^3-27x-81 ?

The solution to factor x^4+3x^3-27x-81 is (x+3)(x-3)(x^2+3x+9)

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factor x^4+3x^3-27x-81

factor

x^{4} + 3 x^{3} - 27 x - 81

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

Solution steps

x^{4} + 3 x^{3} - 27 x - 81

= (x^{4} + 3 x^{3}) + (- 27 x - 81)

Factor out

x^{3}

from

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

Factor out

- 27

from

- 27 x - 81 : - 27 (x + 3)

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

Factor out common term

x + 3

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

Factor

x^{3} - 27 : (x - 3) (x^{2} + 3 x + 3^{2})

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

3^{2} = 9

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

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What is factor x^4+3x^3-27x-81 ?
The solution to factor x^4+3x^3-27x-81 is (x+3)(x-3)(x^2+3x+9)