Roots of a Cubic Function

Hard Algebra Functions

Let the function $$f(x)$$ be defined by the equation:

$$f(x) = x^3 - 3x^2 + 2x$$.

Which of the following statements is true regarding the roots of the function $$f(x)$$?

The function has three distinct real roots.

The function has one real root and two complex roots.

The function has two distinct real roots, where one of them is a multiple root.

The function has no real roots.

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