SOLUTION: construct a polynomial function with the following properties: fifth degree, −4 is a zero of multiplicity 4, 4 is the only other zero.

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Question 1147784: construct a polynomial function with the following properties: fifth degree, −4 is a zero of multiplicity 4, 4 is the only other zero.

Answer by Alan3354(69443) About Me  (Show Source):
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construct a polynomial function with the following properties: fifth degree, −4 is a zero of multiplicity 4, 4 is the only other zero.
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f(x) = (x+4)^4*(x-4)