Consider the polynomial equation
x
4
−
2
x
3
+
3
x
2
−
4
x
+
1
=
0
which one of the following statements describes correctly the solution set of the equation.
The statement that correctly describes the solution set of the equation is: "The polynomial equation has at least one real root."
This is because the quartic polynomial has at least one real root due to the Intermediate Value Theorem. However, it may also have complex roots.