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Suppose that the polynomial function f is defined as follows. f(x)=9(x+13)^2(x-8)^2(x-6)^3 List each zero of f according to its multiplicity in the categories below. If there is more than one answer for a multiplicity, separate them with commas. If there is no answer, click on "None." Zero(s) of multiplicity one: Zero(s) of multiplicity two: Zero(s) of multiplicity three:

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Final answer:

The zeros of the function f(x)=9(x+13)^2(x-8)^2(x-6)^3 are x = -13, x = 8, and x = 6 with multiplicities 1, 1, and 3 respectively.

Step-by-step explanation:

The zeros of the function f(x)=9(x+13)^2(x-8)^2(x-6)^3 can be determined by setting the function equal to zero and solving for x.

Zero(s) of multiplicity one: x = -13, x = 8

Zero(s) of multiplicity two: none

Zero(s) of multiplicity three: x = 6

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