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Answer to Question #43001 in Calculus for shasha

Question #43001
Find the zeros of the polynomial function and state the multiplicity of each.

f(x) = 3(x + 9)2(x - 9)3

4, multiplicity 1; -9, multiplicity 3; 9, multiplicity 3

4, multiplicity 1; 9, multiplicity 1; -9, multiplicity 1

-9, multiplicity 3; 9, multiplicity 2

-9, multiplicity 2; 9, multiplicity 3


help me please
Expert's answer
The product equals zero only if at least one of the multipliers equal zero. Therefrom we get
(x+9)2 = 0 or  (x-9)3 = 0
x = -9 with multiplicity 2  and  x=9 with multiplicity 3.

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