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Suppose that $f$ is a polynomial such that (x^2-1)*f(x)=5x^6-x^5+3x^4+x^3 - 25x^2 +38x -17. What is the degree of $f$?
The degree of the resulting product polynomial is 6
Dividing this degree by the degree of x^2 - 1 = 2....then f must be degree 4