Use the Rational Root Theorem to list all possible rational roots of the polynomial equation x3 – x2 – x – 3 = 0. Do not find the actual roots. (1 point) Responses –3, –1, 1, 3 –3, –1, 1, 3 1, 3 1, 3 –33 –33 no roots
Using the Rational Root Theorem, the possible rational roots of the polynomial equation x^3 – x^2 – x – 3 = 0 are all the factors of the constant term (-3) divided by all the factors of the leading coefficient (1).
The factors of -3 are ±1 and ±3, and the factors of 1 are ±1.
Combining these factors, the possible rational roots are: -3, -1, 1, and 3.
Therefore, the correct response is: -3, -1, 1, 3