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MathNet 2022-part-04 — 197 problems (EN–VI) Question 120

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 120

The polynomial
$$
P(x) = \underbrace{((\dots((x-2)^2 - 2)^2 - \dots)^2 - 2)^2}_{k \text{ times}}
$$
is given. Find the coefficient of $x^2$.