Definition:Integral Polynomial

An integral polynomial is a polynomial:
 * $$P \left({x}\right) = c_n x^n + c_{n-1} x^{n-1} + \cdots + c_1 x + c_0$$

in which all the coefficients $$c_0, c_1, \ldots, c_n$$ and the variable $$x$$ are integers.