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

No rational roots

Step-by-step 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 .

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step-by-step explanation: