MathDB
TOT 022 1982 Spring S4 polynomial takes values of form 2^M

Source:

August 17, 2019
algebrapolynomial

Problem Statement

A polynomial P(x)P(x) has unity as the coefficient of its highest power, and has the property that with natural number arguments, it can take all values of form 2M2^M , where MM is a natural number. Prove that the polynomial is of degree 11.