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Factor polynomial -x^3+6*x-4*x-8

An expression to simplify:

The solution

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   3                
- x  + 6*x - 4*x - 8
$$\left(- 4 x + \left(- x^{3} + 6 x\right)\right) - 8$$
-x^3 + 6*x - 4*x - 8
General simplification [src]
      3      
-8 - x  + 2*x
$$- x^{3} + 2 x - 8$$
-8 - x^3 + 2*x
Factorization [src]
/                                              _________________ /          ___\\ /                                              _________________ /          ___\\                                                  
|                                           3 /           _____  |  1   I*\/ 3 || |                                           3 /           _____  |  1   I*\/ 3 || /                              _________________\
|                                           \/  108 + 6*\/ 318  *|- - - -------|| |                                           \/  108 + 6*\/ 318  *|- - + -------|| |                           3 /           _____ |
|                     2                                          \  2      2   /| |                     2                                          \  2      2   /| |             2             \/  108 + 6*\/ 318  |
|x + ------------------------------------ + ------------------------------------|*|x + ------------------------------------ + ------------------------------------|*|x + -------------------- + --------------------|
|       _________________ /          ___\                    3                  | |       _________________ /          ___\                    3                  | |       _________________            3          |
|    3 /           _____  |  1   I*\/ 3 |                                       | |    3 /           _____  |  1   I*\/ 3 |                                       | |    3 /           _____                        |
|    \/  108 + 6*\/ 318  *|- - - -------|                                       | |    \/  108 + 6*\/ 318  *|- - + -------|                                       | \    \/  108 + 6*\/ 318                         /
\                         \  2      2   /                                       / \                         \  2      2   /                                       /                                                  
$$\left(x + \left(\frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{6 \sqrt{318} + 108}}{3} + \frac{2}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{6 \sqrt{318} + 108}}\right)\right) \left(x + \left(\frac{2}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{6 \sqrt{318} + 108}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{6 \sqrt{318} + 108}}{3}\right)\right) \left(x + \left(\frac{2}{\sqrt[3]{6 \sqrt{318} + 108}} + \frac{\sqrt[3]{6 \sqrt{318} + 108}}{3}\right)\right)$$
((x + 2/((108 + 6*sqrt(318))^(1/3)*(-1/2 - i*sqrt(3)/2)) + (108 + 6*sqrt(318))^(1/3)*(-1/2 - i*sqrt(3)/2)/3)*(x + 2/((108 + 6*sqrt(318))^(1/3)*(-1/2 + i*sqrt(3)/2)) + (108 + 6*sqrt(318))^(1/3)*(-1/2 + i*sqrt(3)/2)/3))*(x + 2/(108 + 6*sqrt(318))^(1/3) + (108 + 6*sqrt(318))^(1/3)/3)
Numerical answer [src]
-8.0 - x^3 + 2.0*x
-8.0 - x^3 + 2.0*x
Common denominator [src]
      3      
-8 - x  + 2*x
$$- x^{3} + 2 x - 8$$
-8 - x^3 + 2*x
Combining rational expressions [src]
       /     2\
-8 + x*\2 - x /
$$x \left(2 - x^{2}\right) - 8$$
-8 + x*(2 - x^2)
Assemble expression [src]
      3      
-8 - x  + 2*x
$$- x^{3} + 2 x - 8$$
-8 - x^3 + 2*x
Combinatorics [src]
      3      
-8 - x  + 2*x
$$- x^{3} + 2 x - 8$$
-8 - x^3 + 2*x
Rational denominator [src]
      3      
-8 - x  + 2*x
$$- x^{3} + 2 x - 8$$
-8 - x^3 + 2*x
Powers [src]
      3      
-8 - x  + 2*x
$$- x^{3} + 2 x - 8$$
-8 - x^3 + 2*x
Trigonometric part [src]
      3      
-8 - x  + 2*x
$$- x^{3} + 2 x - 8$$
-8 - x^3 + 2*x