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nobillionaireNobley
By the remainder theorem, the remainder when (x - k) divides f(x) is f(k).
f(x) = 7x^4 + 12x^3 + 6x^2 - 5x + 16
f(3) = 7(3)^4 + 12(3)^3 + 6(3)^2 - 5(3) + 16 = 7(81) + 12(27) + 6(9) - 15 + 16 = 567 + 324 + 54 + 1 = 946
Therefore, remainder is 946

Answer: The remainder is 946.

Step-by-step explanation:

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