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Factor polynomial z^3-3*z^2+z+5

An expression to simplify:

The solution

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 3      2        
z  - 3*z  + z + 5
$$\left(z + \left(z^{3} - 3 z^{2}\right)\right) + 5$$
z^3 - 3*z^2 + z + 5
General simplification [src]
         3      2
5 + z + z  - 3*z 
$$z^{3} - 3 z^{2} + z + 5$$
5 + z + z^3 - 3*z^2
Factorization [src]
(x + 1)*(x + -2 + I)*(x + -2 - I)
$$\left(x + 1\right) \left(x + \left(-2 + i\right)\right) \left(x + \left(-2 - i\right)\right)$$
((x + 1)*(x - 2 + i))*(x - 2 - i)
Rational denominator [src]
         3      2
5 + z + z  - 3*z 
$$z^{3} - 3 z^{2} + z + 5$$
5 + z + z^3 - 3*z^2
Combinatorics [src]
        /     2      \
(1 + z)*\5 + z  - 4*z/
$$\left(z + 1\right) \left(z^{2} - 4 z + 5\right)$$
(1 + z)*(5 + z^2 - 4*z)
Numerical answer [src]
5.0 + z + z^3 - 3.0*z^2
5.0 + z + z^3 - 3.0*z^2
Trigonometric part [src]
         3      2
5 + z + z  - 3*z 
$$z^{3} - 3 z^{2} + z + 5$$
5 + z + z^3 - 3*z^2
Combining rational expressions [src]
5 + z*(1 + z*(-3 + z))
$$z \left(z \left(z - 3\right) + 1\right) + 5$$
5 + z*(1 + z*(-3 + z))
Assemble expression [src]
         3      2
5 + z + z  - 3*z 
$$z^{3} - 3 z^{2} + z + 5$$
5 + z + z^3 - 3*z^2
Powers [src]
         3      2
5 + z + z  - 3*z 
$$z^{3} - 3 z^{2} + z + 5$$
5 + z + z^3 - 3*z^2
Common denominator [src]
         3      2
5 + z + z  - 3*z 
$$z^{3} - 3 z^{2} + z + 5$$
5 + z + z^3 - 3*z^2