Based on the graph, how many distinct real number solutions does the equation x cubed plus 6 x squared plus 12 x plus 8 is equal to 0 have?

Factor the polynomial: x³ + 6x² + 12x + 8 = (x + 2)³. It equals zero only when x = −2, so there is one distinct real number solution. The root is repeated three times, but it still counts as just one distinct solution; the correct choice is “one real number solution.”

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