Suppose that $f$ is a polynomial such that\[(x^2-1)\cdot f(x)=5x^6-x^5+3x^4+x^3 - 25x^2 +38x -17.\]What is the degree of $f$?
Taking the largest degree of each side, 6 - 2 = 4.
=^._.^=
+41 
