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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 \(f\)?

 Apr 18, 2021
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The degree of f is 3.

 Apr 18, 2021

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