Which statement describes the graph of this polynomial function? f of x is equal to x to the 4th power plus x cubed minus 2 x squared

Factor the polynomial: f(x) = x²(x² + x − 2) = x²(x + 2)(x − 1). The roots x = −2 and x = 1 have multiplicity 1, so the graph crosses the x-axis at both. The root x = 0 has multiplicity 2, so the graph touches the x-axis there. This matches choice A.

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