perplexus.info :: Just Math : Even degree and Odd coefficient Crossed Polynomial Poser

Even degree and Odd coefficient Crossed Polynomial Poser (Posted on 2023-10-29)

P(x) is a polynomial of even degree. Also, all the coefficients of P(x) are odd numbers.

Is it possible for P(x) to have a rational root?
• If so, provide an example.
• If not, prove that it is NOT possible for P(x) to have a rational root.

No Solution Yet Submitted by K Sengupta

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re(2): Idea for a=1

| Comment 5 of 7 |

(In reply to re: Idea for a=1 by Steve Herman)

Yeh, that's why I called it an idea and not a proof. This is the main hole. I should have pointed that out before hitting the Post Comment button.

Posted by Jer on 2023-10-30 15:22:51

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