2020 CAMO Problems/Problem 5

Problem 5

Let $f(x)=x^2-2$ . Prove that for all positive integers $n$ , the polynomial $P(x)=\underbrace{f(f(\ldots f}_{n\text{ times}}(x)\ldots))-x$ can be factored into two polynomials with integer coefficients and equal degree.

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2020 CAMO (Problems • Resources)
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2020 CAMO Problems/Problem 5

Problem 5

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