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How many solutions does the equation 0 = x3 - 7x - 6 have?

  1. 0

  2. 1

  3. 2

  4. 3

The correct answer is: 3

This equation has three solutions because it is a third degree polynomial, which means it can have a maximum of three solutions. The options A, B, and C are incorrect because they do not take into account that the equation is a third degree polynomial. Option A implies that there are no solutions, which is not possible for a polynomial. Option B implies that there is only one solution, when in fact a third degree polynomial can have up to three solutions. Option C also suggests that there are only two solutions, which is not true for this equation. Therefore, the correct answer is D, as it correctly considers the degree of the polynomial.