Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1975 Canadian MO Problems/Problem 8

Revision as of 15:47, 4 August 2016 by Memc38123 (talk | contribs) (Created page with "== Problem 8 == Let <math>k</math> be a positive integer. Find all polynomials <cmath>P(x) = a_0+a_1x+\cdots+a_nx^n</cmath> where the <math>a_i</math> are real, which satisfy ...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem 8

Let $k$ be a positive integer. Find all polynomials \[P(x) = a_0+a_1x+\cdots+a_nx^n\] where the $a_i$ are real, which satisfy the equation \[P(P(x)) = \{P(x)\}^k\].

1975 Canadian MO (Problems)
Preceded by
Problem 7 		1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • Followed by
"Last Question"


Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1975_Canadian_MO_Problems/Problem_8&oldid=79852"