What is factor x^4+2x^3-27x-54 ?

The solution to factor x^4+2x^3-27x-54 is (x+2)(x-3)(x^2+3x+9)

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factor x^4+2x^3-27x-54

factor

x^{4} + 2 x^{3} - 27 x - 54

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

Solution steps

x^{4} + 2 x^{3} - 27 x - 54

= (x^{4} + 2 x^{3}) + (- 27 x - 54)

Factor out

x^{3}

from

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

Factor out

- 27

from

- 27 x - 54 : - 27 (x + 2)

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

Factor out common term

x + 2

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

Factor

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

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

3^{2} = 9

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

a^{2} + a - 2

\frac{2}{x + 3} \leq \frac{1}{x - 2}

5 x^{2} - x - 4

2 x + 15 = x + 15

\frac{e ^{a}}{e ^{b}}

What is factor x^4+2x^3-27x-54 ?
The solution to factor x^4+2x^3-27x-54 is (x+2)(x-3)(x^2+3x+9)