The number of distinct real zeros of the cubic polynomial $f (x) = x^{3} - x^{2} + x - 1$ is

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Solution

The graph of the cubic polynomial $f (x) = x^{3} - x^{2} + x - 1$ is given by
We see that the graph of $f (x)$ intersects the x-axis at only $1$ point, hence it has only $1$ distinct real zero.

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