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The multiplicity of 2 in the function f(x)=x^2(x+2)^3(x-2) is
A) 1
B) 2
C) 3
D) 0
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This formulation is incorrect.
The correct formulation is:
"The multiplicity of the factor (x-2) in the function f(x)=x^2(x+2)^3(x-2) is . . . "
Then the answer is: 1 (one). Option A).
Or:
"The multiplicity of 2 as a root of the function f(x)=x^2(x+2)^3(x-2) is . . . "
The answer is the same: 1 (one). Option A).
It is important in math to correctly formulate the thoughts and to use correct terminology.
By the way, it tells a lot about your personality to the people around you.