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Factor polynomial x^5-2*x^3+4*x

An expression to simplify:

The solution

You have entered [src]
 5      3      
x  - 2*x  + 4*x
$$4 x + \left(x^{5} - 2 x^{3}\right)$$
x^5 - 2*x^3 + 4*x
General simplification [src]
  /     4      2\
x*\4 + x  - 2*x /
$$x \left(x^{4} - 2 x^{2} + 4\right)$$
x*(4 + x^4 - 2*x^2)
Factorization [src]
  /      ___       ___\ /      ___       ___\ /        ___       ___\ /        ___       ___\
  |    \/ 6    I*\/ 2 | |    \/ 6    I*\/ 2 | |      \/ 6    I*\/ 2 | |      \/ 6    I*\/ 2 |
x*|x + ----- + -------|*|x + ----- - -------|*|x + - ----- + -------|*|x + - ----- - -------|
  \      2        2   / \      2        2   / \        2        2   / \        2        2   /
$$x \left(x + \left(\frac{\sqrt{6}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(\frac{\sqrt{6}}{2} - \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{6}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{6}}{2} - \frac{\sqrt{2} i}{2}\right)\right)$$
(((x*(x + sqrt(6)/2 + i*sqrt(2)/2))*(x + sqrt(6)/2 - i*sqrt(2)/2))*(x - sqrt(6)/2 + i*sqrt(2)/2))*(x - sqrt(6)/2 - i*sqrt(2)/2)
Rational denominator [src]
 5      3      
x  - 2*x  + 4*x
$$x^{5} - 2 x^{3} + 4 x$$
x^5 - 2*x^3 + 4*x
Assemble expression [src]
 5      3      
x  - 2*x  + 4*x
$$x^{5} - 2 x^{3} + 4 x$$
x^5 - 2*x^3 + 4*x
Powers [src]
 5      3      
x  - 2*x  + 4*x
$$x^{5} - 2 x^{3} + 4 x$$
x^5 - 2*x^3 + 4*x
Combinatorics [src]
  /     4      2\
x*\4 + x  - 2*x /
$$x \left(x^{4} - 2 x^{2} + 4\right)$$
x*(4 + x^4 - 2*x^2)
Numerical answer [src]
x^5 + 4.0*x - 2.0*x^3
x^5 + 4.0*x - 2.0*x^3
Combining rational expressions [src]
  /     2 /      2\\
x*\4 + x *\-2 + x //
$$x \left(x^{2} \left(x^{2} - 2\right) + 4\right)$$
x*(4 + x^2*(-2 + x^2))
Trigonometric part [src]
 5      3      
x  - 2*x  + 4*x
$$x^{5} - 2 x^{3} + 4 x$$
x^5 - 2*x^3 + 4*x
Common denominator [src]
 5      3      
x  - 2*x  + 4*x
$$x^{5} - 2 x^{3} + 4 x$$
x^5 - 2*x^3 + 4*x