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Factor polynomial 2*x^3+3*x^2+3*x+1

An expression to simplify:

The solution

You have entered [src]
   3      2          
2*x  + 3*x  + 3*x + 1
$$\left(3 x + \left(2 x^{3} + 3 x^{2}\right)\right) + 1$$
2*x^3 + 3*x^2 + 3*x + 1
General simplification [src]
       3            2
1 + 2*x  + 3*x + 3*x 
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
1 + 2*x^3 + 3*x + 3*x^2
Factorization [src]
          /            ___\ /            ___\
          |    1   I*\/ 3 | |    1   I*\/ 3 |
(x + 1/2)*|x + - + -------|*|x + - - -------|
          \    2      2   / \    2      2   /
$$\left(x + \frac{1}{2}\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right)$$
((x + 1/2)*(x + 1/2 + i*sqrt(3)/2))*(x + 1/2 - i*sqrt(3)/2)
Numerical answer [src]
1.0 + 2.0*x^3 + 3.0*x + 3.0*x^2
1.0 + 2.0*x^3 + 3.0*x + 3.0*x^2
Powers [src]
       3            2
1 + 2*x  + 3*x + 3*x 
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
1 + 2*x^3 + 3*x + 3*x^2
Common denominator [src]
       3            2
1 + 2*x  + 3*x + 3*x 
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
1 + 2*x^3 + 3*x + 3*x^2
Trigonometric part [src]
       3            2
1 + 2*x  + 3*x + 3*x 
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
1 + 2*x^3 + 3*x + 3*x^2
Combining rational expressions [src]
1 + x*(3 + x*(3 + 2*x))
$$x \left(x \left(2 x + 3\right) + 3\right) + 1$$
1 + x*(3 + x*(3 + 2*x))
Assemble expression [src]
       3            2
1 + 2*x  + 3*x + 3*x 
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
1 + 2*x^3 + 3*x + 3*x^2
Rational denominator [src]
       3            2
1 + 2*x  + 3*x + 3*x 
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
1 + 2*x^3 + 3*x + 3*x^2
Combinatorics [src]
          /         2\
(1 + 2*x)*\1 + x + x /
$$\left(2 x + 1\right) \left(x^{2} + x + 1\right)$$
(1 + 2*x)*(1 + x + x^2)