+0  
 
0
725
2
avatar+52 

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
avatar
0

Let p(x) = ax + b.  Then you can prove the result.

 Jun 2, 2020
 #2
avatar+118667 
0

This is unfamiliar terminology for me so I would be interested too.

 Jun 12, 2020

1 Online Users