Interesting Olympiad Style Problem about Invariance – math.stackexchange.com

Interesting Olympiad Style Problem about Invariance – math.stackexchange.com

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Problem: The following operations are permitted with the quadratic polynomial $ax^2 +bx +c:$ (a) switch $a$ and $c$, (b) replace $x$ by $x + t$ where $t$ is any real. By repeating these operations, ...

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