Question

Use the rational root theorem to list all possible rational roots for each equation. Then find any actual rational roots. X^3-4x+1=0

Answer 1

Answer:

$\pm1$

Step-by-step explanation:

The given equation is

${x}^{3} - 4x + 1 = 0$

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:

$\pm1$