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Suppose that $f$ is a polynomial and $h$ is a polynomial of degree $5$ or less such that\[(x^2+3x-3)\cdot f(x)+h(x)= -6x^6+72x^4 -50x^3 + 13x^2 +38x -44.\]What is the degree of $f$?

 Aug 24, 2022
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The degree of f is 3.

 Sep 20, 2022

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