Question

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

–3, –1, 1, 3
1, 3
–3, 3
no roots

Answer 1

make all fractions \(\frac{p}{q}\) where \(p\) divides the constant, in your case 3, adn \(q\) divides the lading coefficient, which in your case is 1

this gives you few options in this case because the only number that divides 1 is 1 and -1 and the only number that divides 3 is 1 and 3
you get \(1,-1,3,-3\) and that is all

Answer 2

Ah, Thank you! That makes so much sense.