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Find the zeros of the polynomial function and state the multiplicity of each. f(x) = 3(x + 8)^2(x - 8)^3
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A: -8, multiplicity 2; 8, multiplicity 3 B: 4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1 C: -8, multiplicity 3; 8, multiplicity 2 D 4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3
The only terms involving x are (x+8)^2 and (x-8)^3. (x+8) implies x=-8 and there are 2 of those, and (x-8) implies x=8 and there are 3 of those, so your answer is (A).
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