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Let P(x) be a nonconstant polynomial, where all the coefficients are nonnegative integers.

Prove that there exist infinitely many positive integers n such that P(n) is composite. 

 

Please give me a hint ASAP! Thank you for your time!

 

Edit: I solved it now, thank you to all users who helped.

 Jun 2, 2020
edited by jaehanae  Jun 10, 2020
edited by jaehanae  Jun 14, 2020
 #1
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Let p(x) = ax + b.  Then you can prove the result.

 Jun 2, 2020
 #2
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This is unfamiliar terminology for me so I would be interested too.

 Jun 12, 2020

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