Answer:
[tex] \pm1[/tex]
Step-by-step explanation:
The given equation is
[tex] {x}^{3} - 4x + 1 = 0[/tex]
According to the rational roots theorem, the possible rational roots are all factors of the constant term, expressed over all
factors of the leading coefficient.
The factors of the leading term, 1 are:
±1
The factors of the leading coefficient are:
±1
The possible rational roots are:
[tex] \pm1[/tex]
