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Given f(x)=2x^(3)+3x^(2)-2x-3, find the multiplicity of the zero x=1

Given f(x)=2x^(3)+3x^(2)-2x-3, find the multiplicity of the zero x=1
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Given f(x)=2x^(3)+3x^(2)-2x-3, find the multiplicity of the zero x=1

User Ilya Taranov
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1 Answer

4 votes

Answer:

Hello,

Explanation:


f(x)=2x^3+3x^2-2x-3\\f(1)=2+3-2-3=0\ \Longrightarrow\ 1\ is\ a\ zero.\\f'(x)=6x^2+6x-2\\f'(1)=6+6-2=10\ and\ not\ 0.\\

x=1 has the multiplicity 1.

User Mike Barnes
by
8.2k points
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