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Factor polynomial z^3-6*z^2+5*z+12

An expression to simplify:

The solution

You have entered [src]
 3      2           
z  - 6*z  + 5*z + 12
$$\left(5 z + \left(z^{3} - 6 z^{2}\right)\right) + 12$$
z^3 - 6*z^2 + 5*z + 12
General simplification [src]
      3      2      
12 + z  - 6*z  + 5*z
$$z^{3} - 6 z^{2} + 5 z + 12$$
12 + z^3 - 6*z^2 + 5*z
Factorization [src]
(x + 1)*(x - 3)*(x - 4)
$$\left(x - 3\right) \left(x + 1\right) \left(x - 4\right)$$
((x + 1)*(x - 3))*(x - 4)
Assemble expression [src]
      3      2      
12 + z  - 6*z  + 5*z
$$z^{3} - 6 z^{2} + 5 z + 12$$
12 + z^3 - 6*z^2 + 5*z
Trigonometric part [src]
      3      2      
12 + z  - 6*z  + 5*z
$$z^{3} - 6 z^{2} + 5 z + 12$$
12 + z^3 - 6*z^2 + 5*z
Rational denominator [src]
      3      2      
12 + z  - 6*z  + 5*z
$$z^{3} - 6 z^{2} + 5 z + 12$$
12 + z^3 - 6*z^2 + 5*z
Combining rational expressions [src]
12 + z*(5 + z*(-6 + z))
$$z \left(z \left(z - 6\right) + 5\right) + 12$$
12 + z*(5 + z*(-6 + z))
Numerical answer [src]
12.0 + z^3 + 5.0*z - 6.0*z^2
12.0 + z^3 + 5.0*z - 6.0*z^2
Powers [src]
      3      2      
12 + z  - 6*z  + 5*z
$$z^{3} - 6 z^{2} + 5 z + 12$$
12 + z^3 - 6*z^2 + 5*z
Combinatorics [src]
(1 + z)*(-4 + z)*(-3 + z)
$$\left(z - 4\right) \left(z - 3\right) \left(z + 1\right)$$
(1 + z)*(-4 + z)*(-3 + z)
Common denominator [src]
      3      2      
12 + z  - 6*z  + 5*z
$$z^{3} - 6 z^{2} + 5 z + 12$$
12 + z^3 - 6*z^2 + 5*z