List all the possible rational solutions of 3x^4-2x^3+11x-1=0.

Answer 1

If p/q is a rational root of the given polynomial, then p must be a divisor of the constant term, -1 and q must be a divisor of the leading coefficient, 3.

So, p = 1 or -1 and q = 1, -1, 3, or -3.

Therefore, the only possible rational roots are 1, -1, 1/3, and -1/3,