olymmath

Putnam 2016 A6

  • Session A

Find the smallest constant CC such that for every real polynomial P(x)P(x) of degree 3 that has a root in the interval [0,1][0,1], ∫01∣P(x)∣dx≤Cmax⁡x∈[0,1]∣P(x)∣.\int_0^1 \left| P(x) \right| dx \leq C \max_{x \in [0,1]} \left| P(x) \right|.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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