Since the product of $f$ and a polynomial with degree 1 equals a polynomial with degree 4, we know that $f$ is a polynomial with degree $4-1=\boxed{3}$.
Question:
Suppose that $f$ is a polynomial such that \[(x-1)\cdot f(x)=3x^4+x^3 - 25x^2 +38x -17.\]What is the degree of $f$?
Answer:
Let's think step by step.

user
3
Suppose that $f$ is a polynomial such that \[(x-1)\cdot f(x)=3x^4+x^3 - 25x^2 +38x -17.\]What is the degree of $f$?
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