Y by Adventure10, Mango247
a) Prove that there are two polynomials in
with at least one coefficient larger than 1387 such that coefficients of their product is in the set
.
b) Does there exist a multiple of
such that all of its coefficient are in the set 
![$ \mathbb Z[x]$](http://latex.artofproblemsolving.com/0/3/8/0382040a765290e7da81187825e4f9e75e47afde.png)

b) Does there exist a multiple of

