MathDB

TOT 144 1987 Spring Main S1 p(a) - p(b) = 1 , integer polynomial

Source:

April 17, 2020

polynomialalgebraInteger Polynomial

Problem Statement

Suppose

p(x)

is a polynomial with integer coefficients. It is known that

p(a) - p(b) = 1

(where

a

and

b

are integers). Prove that

a

and

b

differ by

1

.
(Folklore)