SOLUTION: Write a 4th degree polynomial with integer coefficients that has no rational roots.

Question 1173673: Write a 4th degree polynomial with integer coefficients that has no rational roots.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


 + 1 = 0   (has no one real root, and in particular, has no one rational root).


 = 4       (almost the same as   = 2,  has IRRATIONAL roots  x = +/-  ).



 = 9       (almost the same as   = 3,  has IRRATIONAL roots  x = +/-  ).



And millions other examples.

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