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A student divided f(x) = 3x^3 + 8x^2+ 5x - 4 by x+ 2 and found the remainder was r= -6.Based on the remainder theorem, what can be concluded about f(x)?

A: The function f(x) = 3x^3 + 5x- 4 has a zero at -6.

B: The point (-2,-6) lies on the graph of f(x).

C: The y-intercept of the graph of f(x) is -6.

D: The function f(x) = 3x^3 + 8x^2 + 5x - 4 has a zero at -2.​