At which root does the graph of f of x is equal to open paren x minus 5 close paren cubed times open paren x plus 2 close paren squared touch the x -axis?

The roots are x = 5 and x = −2. A graph touches the x-axis at a root with an even multiplicity; the factor (x + 2)² gives x = −2 multiplicity 2, so the correct choice is negative 2.

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