Given n E N, find a p(x) E q(x) of degree n which has no rational roots..

where standard polynomial equation is:

P(x) = (c_n)x^n + (c_n-1)x^n-1 + (c_n-2)x^n-2+....(c_1)x^1 + C_o

and similarly we may assume the polynomial equation for q(x) using 'm' in terms of 'n'....