MathDB

Almost similar to continuity

Source: Malaysian SST 2024 P4

September 5, 2024

algebra

Problem Statement

Fix a real polynomial

P

with degree at least

1

, and a real number

c

. Prove that there exist a real number

k

such that for all reals

a

and

b

, P(a)+P(b)=c \Rightarrow |a+b|Proposed by Wong Jer Ren