Question

Use the rational root theorem to list all possible rational roots: x^3-x^2-x-3=0

Answer 1

No rational roots

Explanation:

According to the rational root theorem, any rational root of a polynomial will be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

Here in this case, q = 1 and p = -3.

This means that the only possible rational factors are:

1, -1, 3 and -3

But if we check, none of the above values are the roots for
`x^3-x^2-x-3=0`.