Have you observed that x^2 + x + 1 is a factor of an expression involving x^3?i think that is it irrational, so i tried to assume by cintridiction that it is rational.
i comperd the expression to n/m (n and m are integers, m is not zero) and tried to do differnt algebric manipulations to the equation.
i also tried to divide the entire expresion by x^3 and then to assume it is rational but encuterd the same problems.
i tried to find a counter example but culdent find one i can prove is irrational without a calcultor.
i am a little lost at the moment and not sure which direction is practical and would very appreciate sume guidance.
Hi prover. That was my first thought because it's the easiest way to disprove that the given quadratic polynomial must represent a Rational number.i tried to find a counter example but [couldn't] find one