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Factor polynomial z^3+3*z^2+4*z+12

An expression to simplify:

The solution

You have entered [src]
 3      2           
z  + 3*z  + 4*z + 12
$$\left(4 z + \left(z^{3} + 3 z^{2}\right)\right) + 12$$
z^3 + 3*z^2 + 4*z + 12
Factorization [src]
(x + 3)*(x + 2*I)*(x - 2*I)
$$\left(x + 3\right) \left(x + 2 i\right) \left(x - 2 i\right)$$
((x + 3)*(x + 2*i))*(x - 2*i)
General simplification [src]
      3      2      
12 + z  + 3*z  + 4*z
$$z^{3} + 3 z^{2} + 4 z + 12$$
12 + z^3 + 3*z^2 + 4*z
Numerical answer [src]
12.0 + z^3 + 4.0*z + 3.0*z^2
12.0 + z^3 + 4.0*z + 3.0*z^2
Combinatorics [src]
        /     2\
(3 + z)*\4 + z /
$$\left(z + 3\right) \left(z^{2} + 4\right)$$
(3 + z)*(4 + z^2)
Common denominator [src]
      3      2      
12 + z  + 3*z  + 4*z
$$z^{3} + 3 z^{2} + 4 z + 12$$
12 + z^3 + 3*z^2 + 4*z
Combining rational expressions [src]
12 + z*(4 + z*(3 + z))
$$z \left(z \left(z + 3\right) + 4\right) + 12$$
12 + z*(4 + z*(3 + z))
Assemble expression [src]
      3      2      
12 + z  + 3*z  + 4*z
$$z^{3} + 3 z^{2} + 4 z + 12$$
12 + z^3 + 3*z^2 + 4*z
Powers [src]
      3      2      
12 + z  + 3*z  + 4*z
$$z^{3} + 3 z^{2} + 4 z + 12$$
12 + z^3 + 3*z^2 + 4*z
Rational denominator [src]
      3      2      
12 + z  + 3*z  + 4*z
$$z^{3} + 3 z^{2} + 4 z + 12$$
12 + z^3 + 3*z^2 + 4*z
Trigonometric part [src]
      3      2      
12 + z  + 3*z  + 4*z
$$z^{3} + 3 z^{2} + 4 z + 12$$
12 + z^3 + 3*z^2 + 4*z