Fora Monic Polynomial With Integer Coefficients the Sum Sk of the Kth Powersof the Zeros Is an Integer, For Positive Integer K. For Prime P, (Modp); and Hence, If Ax - 0 Then Thensimilar Congruences Hold For Sums of Negative Powers of the Zeros.Illustrations Are Given For Various Types of Chebyshev Polynomials With Integerargument.