Answer
$$=x^3-6x^2+4x-24$$
Work Step by Step
Starting with the factors in order to find the original polynomial function, we find:
$$\left(x-6\right)\left(x^2+4\right) \\ =x^2x+4x-6x^2-6\cdot \:4 \\ =x^3-6x^2+4x-24$$
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