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

Answer 1

You'll need to use the Rational Root Theorem. You need to identify "p" which is the constant in the equation. So in this case, p=-1. Next you'll need to identify "q" which is the coefficient of the term with the biggest exponent. So in this case, q=3. Next find all the factors of p. So the factors are +1 and -1. Next find all the factors of q. So those factors are +1, -1, +3 and -3. Next you need to find ALL THE DIFFERENT COMBINATIONS OF P/Q.

So in this case, that would be +1, -1, +1/3 and -1/3. These four numbers are all the possible rational solutions of this equation. I hope that helps. :)