Mister Exam

Factor polynomial x^4-3*x

An expression to simplify:

The solution

You have entered [src]
 4      
x  - 3*x
$$x^{4} - 3 x$$
x^4 - 3*x
Factorization [src]
              /    3 ___      5/6\ /    3 ___      5/6\
  /    3 ___\ |    \/ 3    I*3   | |    \/ 3    I*3   |
x*\x - \/ 3 /*|x + ----- + ------|*|x + ----- - ------|
              \      2       2   / \      2       2   /
$$x \left(x - \sqrt[3]{3}\right) \left(x + \left(\frac{\sqrt[3]{3}}{2} + \frac{3^{\frac{5}{6}} i}{2}\right)\right) \left(x + \left(\frac{\sqrt[3]{3}}{2} - \frac{3^{\frac{5}{6}} i}{2}\right)\right)$$
((x*(x - 3^(1/3)))*(x + 3^(1/3)/2 + i*3^(5/6)/2))*(x + 3^(1/3)/2 - i*3^(5/6)/2)
General simplification [src]
  /      3\
x*\-3 + x /
$$x \left(x^{3} - 3\right)$$
x*(-3 + x^3)
Numerical answer [src]
x^4 - 3.0*x
x^4 - 3.0*x
Combinatorics [src]
  /      3\
x*\-3 + x /
$$x \left(x^{3} - 3\right)$$
x*(-3 + x^3)
Combining rational expressions [src]
  /      3\
x*\-3 + x /
$$x \left(x^{3} - 3\right)$$
x*(-3 + x^3)