(022) 4

Part of 1982 Tournament Of Towns

Problems(1)

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

Source:

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

2^M

M

is a natural number. Prove that the polynomial is of degree

1

algebrapolynomial