Use the Rational Root Theorem to list all possible rational

Use the Rational Root Theorem to list all possible rational roots of the polynomial equation. (Enter your answers as a comma-separated list.)

x³+11x²+4x-12=0

Solution

x³+11x²+4x-12=0

The Rational Root Theorem tells you that if the polynomial has a rational zero then it must be a fraction pq, where p is a factor of the trailing constant and q is a factor of the leading coefficient

factors of leading coefficient = 1

factors of constant term are = 1 , 2 , 3 , 4 , 6 , 12

Possible solutions : +/- 1/1 . +/- 2/1 , +/- 3/1 , +/- 4/1 , +/- 6/1 , +/- 12/1