How many x -intercepts appear on the graph of this polynomial function? f of x is equal to x to the 4th power minus x cubed plus x squared minus x

Factor the polynomial by grouping: x⁴ − x³ + x² − x = x(x − 1)(x² + 1). The real zeros are x = 0 and x = 1; x² + 1 has no real zeros. Therefore, the graph has 2 x-intercepts, matching “2 x-intercepts.”

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