Mister Exam

Factor polynomial x^3+x+2

An expression to simplify:

The solution

You have entered [src]
 3        
x  + x + 2
$$\left(x^{3} + x\right) + 2$$
x^3 + x + 2
General simplification [src]
         3
2 + x + x 
$$x^{3} + x + 2$$
2 + x + x^3
Factorization [src]
        /              ___\ /              ___\
        |      1   I*\/ 7 | |      1   I*\/ 7 |
(x + 1)*|x + - - + -------|*|x + - - - -------|
        \      2      2   / \      2      2   /
$$\left(x + 1\right) \left(x + \left(- \frac{1}{2} + \frac{\sqrt{7} i}{2}\right)\right) \left(x + \left(- \frac{1}{2} - \frac{\sqrt{7} i}{2}\right)\right)$$
((x + 1)*(x - 1/2 + i*sqrt(7)/2))*(x - 1/2 - i*sqrt(7)/2)
Assemble expression [src]
         3
2 + x + x 
$$x^{3} + x + 2$$
2 + x + x^3
Trigonometric part [src]
         3
2 + x + x 
$$x^{3} + x + 2$$
2 + x + x^3
Numerical answer [src]
2.0 + x + x^3
2.0 + x + x^3
Common denominator [src]
         3
2 + x + x 
$$x^{3} + x + 2$$
2 + x + x^3
Powers [src]
         3
2 + x + x 
$$x^{3} + x + 2$$
2 + x + x^3
Rational denominator [src]
         3
2 + x + x 
$$x^{3} + x + 2$$
2 + x + x^3
Combining rational expressions [src]
      /     2\
2 + x*\1 + x /
$$x \left(x^{2} + 1\right) + 2$$
2 + x*(1 + x^2)
Combinatorics [src]
        /     2    \
(1 + x)*\2 + x  - x/
$$\left(x + 1\right) \left(x^{2} - x + 2\right)$$
(1 + x)*(2 + x^2 - x)