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Can somebody explain this problem to me...

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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 5, 2018