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Home » Batman Meets Catwoman: How Their Dangerous Game Changed Gotham Forever! - Redraw

Batman Meets Catwoman: How Their Dangerous Game Changed Gotham Forever! - Redraw

📅 May 6, 2026 👤 scraface

May 06, 2026

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Question: Let $ P(x) $ be a cubic polynomial such that $ P(1) = 1 $, $...
We are given that $ P(x) $ is a cubic polynomial satisfying:
Then $ Q(x) $ is also a polynomial, and:
So define $ P(x) $, cubic, satisfying:
Use Lagrange interpolation for $ P(x) $, cubic, through $ (1,1), (2,4)...
Let $ P(x) = a(x-2)(x-3)(x-4) + b(x-1)(x-3)(x-4) + c(x-1)(x-2)(x-4) +...
$ x = 3 $: $ 27a + 9b + 3c + d = 9 $
$ x = 4 $: $ 64a + 16b + 4c + d = 16 $
But the problem says $ P(x) $ is cubic. Contradiction.
But the problem says cubic, which usually means degree at most 3, but...

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