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Even degree and Odd coefficient Crossed Polynomial Poser (Posted on 2023-10-29) Difficulty: 3 of 5
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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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: proof for quadratics Steve Herman2023-10-30 20:56:01
proof for quadratics xdog2023-10-30 19:16:18
re(2): Idea for a=1Jer2023-10-30 15:22:51
Some Thoughtsre: Idea for a=1Steve Herman2023-10-30 13:59:20
Some ThoughtsIdea for a=1Jer2023-10-30 09:15:06
re: Request for ClarificationBrian Smith2023-10-29 09:43:02
QuestionRequest for ClarificationH M2023-10-29 07:21:29
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