# Calculus or polynomial equations?

Algebra Level pending

$$f(x)$$ is a 5-degree polynomial such that $${(x - 1)^3} | f(x) - 1$$ and that $${x^3} | f(x)$$.

If $$f(x)$$ can be expressed as $$a{x}^5 + b{x}^4 + c{x}^3 +d{x}^2 + ex + f$$. Find the value of ($$abc)$$ .

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