2020 CAMO Problems/Problem 5
Problem 5
Let 
. Prove that for all positive integers 
, the polynomial ![\[P(x)=\underbrace{f(f(\ldots f}_{n\text{ times}}(x)\ldots))-x\]](http://latex.artofproblemsolving.com/7/7/0/770cd7a8887dbd0befdf8d5cb85f7cc1f1a7baf3.png)
can be factored into two polynomials with integer coefficients and equal degree.
Solution
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See also
| 2020 CAMO (Problems • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All CAMO Problems and Solutions | ||
| 2020 CJMO (Problems • Resources) | ||
| Preceded by Problem 5 |
Followed by Last problem | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All CJMO Problems and Solutions | ||
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